Question

The number of solution of log base4 (x-1)=log base2 (x-3) is

Answer 1

2 values of x

Answer 2

how 2 answers

Answer 3

\[\log_{4}(x-1) = \log_{2}(x-3) \]
\[\large x-1 = 4^{\log_{2}(x-3)} \]
\[\large x-1 = 2^{2\log_{2}(x-3)}\]
\[x-1 = (x-3)^{2}\]
now just solve the quadratic...so yes there are 2 solutions

Answer 4

there u go

Answer 5

thanks

Answer 6

yw