All categories

3 years ago

How do you simplify this??????

Mathematics

1 answer:

Alex787 [66]3 years ago

3 0

The Answer is: 13x^2/5

You might be interested in

Marianna [84]

The expression into a single logarithm is $log[(x)^{10}][(2)^{30}]$

Step-by-step explanation:

Let us revise some logarithmic rules

$log(a)^{n}=nlog(a)$
$log(ab)=log(a)+log(b)$
$nlog(a)+mlog(b)=log[(a)^{n}][(b)^{m}]$

∵ 10 log(x) + 5 log(64)

- At first re-write 10 log(x)

∴ 10 log(x) = $log(x)^{10}$

- Then re-write 5 log(64)

∴ 5 log(64) = $log(64)^{5}$

∴ 10 log(x) + 5 log(64) = $log(x)^{10}$ + $log(64)^{5}$

- Use the 3rd rule above to make it single logarithm

∵ $log(x)^{10}$ + $log(64)^{5}$ = $log[(x)^{10}][(64)^{5}]$

∴ 10 log(x) + 5 log(64) = $log[(x)^{10}][(64)^{5}]$

∵ 64 = 2 × 2 × 2 × 2 × 2 × 2

∴ We can write 64 as $2^{6}$

∴ $(64)^{5}=(2^{6})^{5}$

- Multiply the two powers of 2

∴ $(64)^{5}=(2)^{30}$

∴ 10 log(x) + 5 log(64) = $log[(x)^{10}][(2)^{30}]$

The expression into a single logarithm is $log[(x)^{10}][(2)^{30}]$

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

6 0

3 years ago

Which type of function correctly describes the exponential function

Dennis_Churaev [7]

the answer is a. increasing function

3 0

4 years ago

Read 2 more answers

Can you solve this??

N76 [4]

$9-\underline{9\div 9} + 9 - \underline{9 \div 9}\implies 9-\underline{1}+9-\underline{1}\implies 8+9-1\implies 17-1\implies 16\\$

recall PEMDAS, MD are before AS, and both are performed from left to right.

5 0

2 years ago

Read 2 more answers

A retail store makes a profit of $3.75 for each $10.00 of goods sold. How much profit would the store make on a $45.00 purchase?

Gekata [30.6K]

Answer:

SEE GOGLE

Step-by-step explanation:

5 0

3 years ago

What is 74 divided by 99

jeyben [28]

74/99 = 0.747474747474747.

Next time just use a calculator to figure this question out!

Hope I could help! :)

5 0

3 years ago

Read 2 more answers