Question

Solve: log4x−log45=log460​

Answer 1

Given,

The equation is, log 4x - log 45 = log 460

To find,

The value of 'x'.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Now,

log 4x - log 45 = log 460

log (4x/45) = log 460 [As, log a - log b = log a/b (where all the log have same base.)]

This implies that,

4x/45 = 460

4x = 460 × 45

4x = 20700

x = 20700/4

x = 5175

Hence, the value of 'x' is 5175