Question

I'm trying to solve an equation where I need to convert from exponential to logarithms in simultaneous equations.

7.5 = a * b^log2(128)
2.5 = a * b^log2(512)

I calculated the log2 in both equation to get this:

7.5 = a * b^7
2.5 = a * b^9

But need to convert to logarithms on both sides to solve for b

Can anyone help please? Thanks in advance

Answer 1

do you have the answer?

Answer 2

I just divide eq.1 / eq.2 and got 3=b^-2
then b=1/9, but I'm not sure if that's ok

Answer 3

sorry, b= +/- 1/sqrt(3)