abbymccreary
abbymccreary abbymccreary
  • 06-07-2019
  • Mathematics
contestada

what is 144^1/2=12 written in logarithmic form

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freckledspots freckledspots
  • 06-07-2019

Answer:

[tex]\log_{144}(12)=\frac{1}{2}[/tex]

Step-by-step explanation:

First step identify the base.  The base is 144.

The exponent is the logarithm.

The number not mentioned is the one that goes inside.

In other words [tex]a^x=b[/tex] is equivalent to [tex]log_a(b)=x[/tex]

There are some restrictions on what a and b can be.

You read  [tex]log_a(b)=x[/tex] as log base a of b equals x

x is the exponent

a is the base

So we have log base 144 of 12 equals 1/2

[tex]\log_{144}(12)=\frac{1}{2}[/tex]

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