xlog2 2xlog3 xlog3Solutionxlog2 2xlog3 xlog3 Use the log p

xlog2 -2xlog3 = xlog3

Solution

xlog2 -2xlog3 = xlog3

Use the log properties: alogX = logX^a ; logA -logB = log(A/B)

log2^x -log3^2x = log3^x

log(2^x/3^2x) = log3^x

equate the argument on both sides:

2^x/3^2x = 3^x

2^x = 3^2x*3^x

2^x = 3^3x

This is only true for x =0 if the equation given is correct.