Question

What is the value of log subscript 6 baseline startfraction 1 over 36 endfraction? –6 –2 2 6

Answer 1

The value of log subscript 6 baseline start fraction 1 over 36 end fraction is -2.

Let  x is the unknown value

We have to determine the value of x

$Log_6 ( 1/36) = x....Given$

What is the meaning of logarithmic function?

Logarithmic functions are the inverses of exponential functions, and an exponential function can be expressed in logarithmic form.

$( 1/36) = 36^{-1} = (6^{2})^{-1} = 6^{-1}$

$Log_6( 1/36) = Log_6 6^{-2} = -2 Log_6 6$

We know that,

$log_aa=1$

Therefore by applying the above rule of log we have

$Log_6 6 = 1$

Therefore we get

$-2 Log_6 6 = -2(1) = -2$

Therefore option 2 is correct.

To learn more about the logarithmic expression visit:

brainly.com/question/1832186

Answer 2

Answer:

2

Step-by-step explanation: