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!