Math, asked by JayMak, 5 months ago

log 1/125 to the base 5​

Answers

Answered by Anonymous
11

Logarithm base 5 of 1/125 is −3 .

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Answered by parashs864
4

Step-by-step explanation:

Enter a problem...

Precalculus Examples

Popular Problems Precalculus Evaluate log base 5 of 1/125

log

5

(

1

125

)

Rewrite as an equation.

log

5

(

1

125

)

=

x

Rewrite

log

5

(

1

125

)

=

x

in exponential form using the definition of a logarithm. If

x

and

b

are positive real numbers and

b

does not equal

1

, then

log

b

(

x

)

=

y

is equivalent to

b

y

=

x

.

5

x

=

1

125

Create equivalent expressions in the equation that all have equal bases.

5

x

=

5

3

Since the bases are the same, the two expressions are only equal if the exponents are also equal.

x

=

3

The variable

x

is equal to

3

.

3

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