Hi there! The answer is x = 1
Let's solve this problem step by step!
[tex]8(10) {}^{2x} = 800[/tex]
First divide both sides of the equation by 8.
[tex]10 {}^{2x} = 100[/tex]
Now rewrite 100 as a power of 10.
[tex]10 {}^{2x} = 10 {}^{2} [/tex]
Now we can use the following rule, which basically means that two different exponents of the same base must be the same
[tex] {g}^{a} = {g}^{b} \\ a = b[/tex]
We now get this.
[tex]2x = 2[/tex]
Finally divide both sides by 2.
[tex]x = 1[/tex]
~ Hope this helps you!
