Question

Find the solution for the following equation: log4(x + 7) = 5? How do I solve this?​

Answer 1

Answer:

x = 1017

Step-by-step explanation:

Rewrite the number 5 as a logarithm of base 4.

$\log_{4}\left(x+7\right)= log_{4} (1024)$

For two logarithms of the same base to be equal, their arguments must be equal. In other words, if $\log(a)=\log(b)$ then a must equal b.

$x + 7 =1024\\x = 1024 - 7\\x = 1017$