Question

Solve

11^(X+4) = 57

Please explain steps, ty!

Answer 1

@Hero @SolomonZelman

Answer 2

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
11^(x+4)-(57)>0

Answer 3

There is no greater than sign?

Answer 4

\(\large\color{blue }{ \rm 11^{x+4}=57 }\)

\(\large\color{blue }{ \rm (x+4)~log~11=log~57 }\)

\(\large\color{blue }{ \rm (x+4)~=log~57~/~log~11 }\)

\(\large\color{blue }{ \rm (x+4)~=log_{~~11}~57 }\)

\(\large\color{blue }{ \rm x~=log_{~~11}~57~-4 }\)

Answer 5

You just need to approximate the answer.

Answer 6

@SolomonZelman Do you have a calculator on you? I don't have mine at the moment, left it at school, it would be great if you tell me answer :)?