Find x if 2logb4logb5logb10logbxSolution2logb4 logb5 logb10

Find x if:

2log_b4+log_b5-log_b10=log_bx

Solution

2log_b4 + log_b5 -log_b10=log_bx

We have to use the following log rules

a log_bc= log_bc^a

log_ba + log_bc=log_bac

log_ba-log_bc=log_b(a/c)

And on using these rules we get

log_b4²+ log_b5-log_b10=log_bx

log_b80 - log_b10=log_bx

log_b8=log_bx

x=8