Use logarithms to solve exponential equations

Question

Solve the exponential by taking the logarithm on both sides. Use a calculator to obtain a decimal approximation, correct to four decimal places, for the solution. 

 

4(x+7)=5

 

 

 

 

 

 

 

(answer is -5.8390 but i need help step by step on how they got this answer)

Answer 1

4^x+7=5 

(x+7)log4=log5

x+7=log5/log4

x=log5/log4-7

x=1.160964047443681-7

x=-5.8390359525563187