Which logarithmic equation is equivalent to 3^2 = 9?


A - 2 = log (small 3) 9

B - 2 = log (small 9) 3

C - 3 = log (small 2) 9

D - 3 = log (small 9) 2

Verified Answer :

easy

remember
\(x^m=y\) means \(log_x(y)=m\)
so
\(3^2=9\) means \(log_3(9)=2\)

A is answer

Logarithms tell the exponent or power a number must be raised.

The equation 3² = 9 can be written as log₃9=2.

What is Logarithm?

A log function is a way to find how much a number must be raised in order to get the desired number.

\(a^c =b\)

can be written as

\(\rm{log_ab=c\)

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Given to us

3^2 = 9

As we know about the logarithm, therefore, we can write the given equation as,

\(3^2 = 9\\\\log_39 = 2\)

Hence, the equation 3² = 9 can be written as log₃9=2.

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