Find x if log_(3)((1)/(3))+log3^-(1)/(9)x=5

Question

Answer 1

To solve the equation

, we can use the properties of logarithms.First, let's simplify the left side of the equation:

can be simplified to

, since

is the reciprocal of

.Next,

can be simplified to

, since

is the exponent of the base

.Now, we can rewrite the equation as:

To solve for

, we can add

to both sides of the equation:

Finally, we can multiply both sides of the equation by

to isolate

:

Therefore, the solution to the equation is

.

Question