This problem becomes simple if you understand the meaning of logarithms, and recall some simple rules.
Note that by the log conversion formula, Log_{4}x = Log_{2}x/Log_{2}4, so the problem becomes
log_{2}x(1 + 1/Log_{2}4) = 2, so (1.5)log_{2}x = 2 or log_{2}x = 2/(1.5) = 4/3,
Now remember, log_{2}x = 4/3 means "the power that you raise 2 to in order to get x is 4/3", so x = the cube root of 2^{4}.
x = cube root of 16.
1/20/2014

Kenneth G.
Comments