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4 years ago

Write the equation in its equivalent logarithmic form. 6^ z =28 What is the equivalent logarithmic form of the equation?

Mathematics

2 answers:

Inga [223]4 years ago

8 0

$6^z = 28$

$ln6^z = ln28$

$z.ln6=ln28$

$z=\frac{ln28}{ln6}$

$z=log_628$

wel4 years ago

5 0

log (6)^z = log(28) Answer <<<<<

just to make 20 letters, I'll solve it.

You get to bring down the power on the base(z in this case) and put z in front of the log.
z* log(6) = log(28) Divide by log 6
z = log (28)/log(6)
z = 1.4472/0.7782
z = 1.8598

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3 years ago

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3 years ago

What is the inverse of the function f(x) = 8x+1

Yanka [14]

Answer:

f⁻¹(x) = (x - 1)/8

f⁻¹(x) = 1/8 x - 1/8

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".

Remember "f(x)" is the same thing as "y". Change from function notation to "y".

f(x) = 8x + 1

y = 8x + 1

Switch the "x" and "y" variables

x = 8y + 1

Isolate "y". Move the "y" variable to the left for standard formatting

8y + 1 = x

8y + 1 - 1 = x - 1 Subtract 1 from both sides

8y = x - 1

$\frac{8y}{8}=\frac{x-1}{8}$ Divide both sides by 8 and simplify

$y=\frac{x-1}{8}$ Inverse equation

$y=\frac{1}{8}x-\frac{1}{8}$ Slope-intercept form

Use function notation, change "y"

$f^{-1}(x)=\frac{x-1}{8}$ Simplified

$f^{-1}(x)=\frac{1}{8}x-\frac{1}{8}$ Slope-intercept form

6 0

3 years ago

Can someone please!!! Help me

timurjin [86]

The answer to this question is true

7 0

3 years ago

5.63 + 14.37 PLZ ANSWER QUICK

erica [24]

To add decimals, line up the decimal points.
Here are some examples.

1.2
1.43

10.2
2.5

938.290
21.001

After you line up the decimal points, just add and carry down the decimal point.

14.37
5.63
_____
20.00

So, the answer is 20.

5 0

3 years ago

Write the equation in its equivalent logarithmic form. 6^ z =28 What is the equivalent logarithmic form of the​ equation?

Write the equation in its equivalent logarithmic form. 6^ z =28 What is the equivalent logarithmic form of the equation?