Question

Which is it equivalent to ?

Answer 1

`x=(log(8))/(log(5))+3`

Explanation:

we can solve this by using logarithms and their properties:

first, we need to simplify the equation.

`5^(x-3)+3=11\\\\5^(x-3)=8\\\\`

we can then take the common log for both sides:

`log(5^(x-3) )=log(8)\\\\x-3* log(5)=log(8)\\\\x-3=(log(8))/(log(5))\\\\x=(log(8))/(log(5))+3`