All categories

3 years ago

Simplify the following

Mathematics

1 answer:

Goshia [24]3 years ago

4 0

Answer:

Step-by-step explanation:

Using the rules of logarithms

log $x^{n}$ = nlogx

$log_{b}$ b = 1

Then

$log_{x}$ $x^{9}$

= 9 $log_{x}$ x

= 9

You might be interested in

What is the volume of a cone (in cubic inches) of radius 5 inches and height 3

beks73 [17]

Answer:

78.54 cm^3

Step-by-step explanation:

I think thats the answer

6 0

3 years ago

C<br> Solve for m:<br> 3/4m - 3 = 9<br> May I please have help!

MAVERICK [17]

Answer:

m=16

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3/4*m-3-(9)=0

Step 1: Simplify 3/4

Equation at the end of step 1: ((3/4 x m) - 3) - 9 = 0

Step2: Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

3 3 • 4

3 = — = —————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3m - (3 • 4) 3m - 12

—————4——————— = ———4————

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

3•(m-16)

———————— • 4 = 0 • 4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

3 • (m-16) = 0

6.2 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solve : m-16 = 0

Add 16 to both sides of the equation :

m = 16

6 0

3 years ago

James has a recipe that uses 1 1/2 cups of brown and 2 1/3 cups of flour to make 24 muffins. He has a total of 7 cups of sugar.

AURORKA [14]

Answer:

Part A: James needs 10 1/2 cups of sugar if he uses all 7 cups of flour

Part B: James will make 72 muffins if he uses all 7 cups of flour

Step-by-step explanation:

*I had an easier time figuring out part B before I figured out part A

PART B:

If the original recipe uses 2 1/3 cups of flour, and James has 7 cups of flour, I started off by dividing 7 by 2 1/3 to see how many times we can get 2 1/3 cups out of 7 cups. 7 divided by 2 1/3 = 3. Now that we know we can get 3 cups out of 2 1/3 cups, we need to multiply 3 by 24 to find out how many muffins James will get. 24 * 3 = 72

James will get 72 muffins by using 7 cups of flour.

PART A: Now we know that James is making 72 muffins. We need to find out how many cups of sugar James needs. To do that we can multiply 1 1/2 cups by 7. The product is 10 1/2 cups of sugar. Now we know that James needs 10 1/2 cups of flour if he uses all 7 cups of flour.

Hope this helps!!

7 0

3 years ago

If in a right triangle, the given legs are a = 10 and b=16, then by using the Pythagorean Theorem find the hypotenuse, c.

Reika [66]

Answer:

$c=2\sqrt{89}$