SOLUTION: Solve log2 x-log2 6=log2 5+2log2 3 for x. equation orientation: https://gyazo.com/3c6dcbe26d36a9666e182b3102b72319

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve log2 x-log2 6=log2 5+2log2 3 for x. equation orientation: https://gyazo.com/3c6dcbe26d36a9666e182b3102b72319      Log On


   

Question 1205556: Solve log2 x-log2 6=log2 5+2log2 3 for x.
equation orientation: https://gyazo.com/3c6dcbe26d36a9666e182b3102b72319
Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2Cx%29-log%282%2C6%29=log%282%2C5%29%2B2log%282%2C3%29
log%282%2Cx%29=log%282%2C6%29%2Blog%282%2C5%29%2Blog%282%2C3%5E2%29
log%282%2Cx%29=log%282%2C6%2A5%2A3%5E2%29

log%282%2Cx%29=log%282%2C270%29......change to base 10
log%28x%29%2Flog%282%29=log%28270%29%2Flog%282%29...denominators are same, so numerators must be same too

log%28x%29=log%28270%29
x=270




Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2Cx%29-log%282%2C6%29=log%282%2C5%29%2B2log%282%2C3%29

log%282%2Cx%29=log%282%2C5%29%2B2log%282%2C3%29%2Blog%282%2C6%29
log%282%2Cx%29=log%282%2C5%2A6%29%2Blog%282%2C3%5E2%29
log%282%2Cx%29=log%282%2C5%2A6%2A3%5E2%29

Both logarithm expressions are to base 2, so corresponding expressions are equal too.

x=5%2A6%2A3%5E2----------and you can fully multiply this.
270