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Serggg [28]
2 years ago
9

How to slove any logarithm equation​

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
8 0

Answer:

1) Look at the equation. When looking at the problem equation, identify the base (b), exponent (y), and exponential expression (x).

Example: 5 = log4(1024)

b = 4

y = 5

x = 1024

2) Move the exponential expression to one side of the equation. Set the value of your exponential expression, x, to one side of the equal sign.

Example: 1024 = ?

3) Apply the exponent to the base. The value of your base, b, needs to be multiplied by itself by the amount of times indicated by your exponent, y.

Example: 4 * 4 * 4 * 4 * 4 = ?

This could also be written as: 45

4) Rewrite your final answer. You should be able to rewrite the logarithm as an exponential expression now. Verify that your answer is correct by making sure that both sides of the equation are equal.

Example: 45 = 1024

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Two less than 2 times a number is the same as the number plus 64
Schach [20]
In math for we have:
2x-2=x+64
which turns into:
x=66

(subtract x from right) & (add two from left)
8 0
3 years ago
Read 2 more answers
Taxicab Ride
lara [203]

Answer: Carlton's cabs is the cheaper option if she wants to travel 15 miles.

Step-by-step explanation:

A linear relationship can be written as:

c = a*n + b

where a is the slope (in this case, the rate per mile), n is the number of miles driven by the taxi, and b is the y-axis (in this case, the initial cost) intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then for each table we only need to take two points and construct the linear equation:

Treveon's Taxis:

We can use the two points (1, $5.25) and (3, $9.75)

Then the rate per mile, or the slope, will be:

a = ($9.75 - $5.25)/(3 - 1) = $2.25

This means that each mile costs $2.25

Then the equation will be written as:

c = $2.25*n + b

To find the value of b, we can just replace one of the points in the equation. For example, I will se the point (1, $5.25) this means that we need to replace n  by 1, and c by $5.25

Then:

$5.25 = $2.25*1 + b

$5.25 - $2.25 = b

$3 = b

Then the initial cost here is $3.

And the equation will be:

c = $2.25*n + $3.

Carlton's Cabs:

Same approach as before, here I will use the points (1, $7.00) and (3, $10.50)

Then the rate per mile will be:

a = ($10.50 - $7.00)/(3 - 1) = $1.75

The rate per mile is $1.75 (is cheaper than in the previous case)

Then at the moment, the equation is:

c = $1.75*n + b

To find the initial cost, we do the same as before, here i will use the point (1, $7.00)

$7.00 = $1.75*1 + b

$7.00 - $1.75 = b

$5.25 = b

The initial cost here is $5.25

And the equation will be:

c = $1.75*n + $5.25

Now, which one is cheaper for 15 miles?

We only need to replace n by 15 in both equations, and see in which one the cost is lower:

Treveon's Taxis:

c(15) = $2.25*15 + $3 = $36.75

Carlton's Cabs:

c(15) = $1.75*15 + $5.25 = $31.5

Then Carlton's Cabs is a better option if you want to travel 15 miles.

6 0
3 years ago
Scale on a map is 1:800000. motorway is 120 km long . what distance will it be on the map​
Rudik [331]

Answer:

Multiply the number of inches on the map times the scale to determine the true distance. For example, if the distance on the map was 5.5 inches and the scale was 1:6,336,000, the true distance would be 550 miles. To convert an area, convert the dimensions using the scale and then find the true area.

7 0
3 years ago
a square is put together by two triangles. the hypotenuse is 11 cm and width if 8 cm. find the height of the triangle.
maksim [4K]

Answer:

b ≈ 7.54 cm

Step-by-step explanation:

Pythagorean Theorem

a² + b² = c²

a and b are the sides and c is the hypotenuse

hypotenuse is 11 cm

a side is 8 cm

so

8² + b² = 11²

64 + b² = 121

-64           -64

       b² =  57

    √b² =  √57

       b ≈ 7.54 cm ( use ≈ because its rounded so its not exact)

3 0
3 years ago
Shaggy earned
Luba_88 [7]

Answer

x>21.2

Step-by-step explanation:

7.55x+100>160

-100 on both sides

7.55x>60

/ 7.55 on both sides

x>21.2

That is a bit of a high number, but im pretty sure that I did the math right

> is less than or equal to in this equation bc idk how to make the real sign

8 0
3 years ago
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