Question

Can you explain how to do this?

Answer 1

Hi there! The answer is x = 1

Let's solve this problem step by step!

`8(10) {}^(2x) = 800`

First divide both sides of the equation by 8.

`10 {}^(2x) = 100`

Now rewrite 100 as a power of 10.

`10 {}^(2x) = 10 {}^(2)`

Now we can use the following rule, which basically means that two different exponents of the same base must be the same

`{g}^(a) = {g}^(b) \\ a = b`



We now get this.

`2x = 2`



Finally divide both sides by 2.

`x = 1`



~ Hope this helps you!