Which logarithmic equation is equivalent to 32 = 9? 2 = log Subscript 3 Baseline 9 2 = log Subscript 9 Baseline 3 3 = log Subscript 2 Baseline 9 3 = log Subscript 9 Baseline 2

A. 2=Log₃9

Step-by-step explanation:

Consider the expression

Log₁₀100=2, We know that 10²=100.

The first form is the logarithm form while the second is expressed in index form.

To change from index form to logarithm form,

I. the base of the exponent still remains the base of the logarithm.

II. The index or power moves to the right hand side.

III. The result of the exponent becomes the number whose logarithm we are looking for.

Therefore:

3²=9 in logarithm form is given as:

Log₃9=2

a

Step-by-step explanation:

a and c

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b