# How do you solve #10^(x-1)=100^(2x-3)#?

##### 1 Answer

Jun 18, 2018

#### Explanation:

Let's rewrite the right side in terms of base-

Notice,

Since we have the same bases, the exponents are equivalent. We can now set up the following equation:

Subtracting

Adding

Lastly, dividing both sides by

Hope this helps!