Question

I need help with Math question?

please show me the steps.

1. 4^x = 3^(x+2). Use logarithms to solve for x. Check your work by evaluating 4^x and 3^(x+2) once you know what x is.

2. 4^x = 13^x. Use logarithms to solve for x. Check your work by evaluating 4^x and 13^x once you know what x is.

Answer 1

x*log(4)=(x+2)*log(3)
Xlog(4)=xlog(3)+0.9542425094
Log(4)x-log(3)x=0.9542425094
0.1249387366x=0.9542425094
X=0.9542425094/0.1249387366/
X=7.637683