Math, asked by surya3879, 11 months ago

what is the value of log 2 to the base 8​

Answers

Answered by Anonymous
4

Enter a problem...

Algebra Examples

Popular Problems Algebra Evaluate log base 8 of 2

log

8

(

2

)

Logarithm base

8

of

2

is

1

3

.

Tap for fewer steps...

Rewrite as an equation.

log

8

(

2

)

=

x

Rewrite

log

8

(

2

)

=

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

.

8

x

=

2

Create expressions in the equation that all have equal bases.

(

2

3

)

x

=

2

1

Rewrite

(

2

3

)

x

as

2

3

x

.

2

3

x

=

2

1

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

3

x

=

1

Solve for

x

.

x

=

1

3

The variable

x

is equal to

1

3

.

1

3

The result can be shown in multiple forms.

Exact Form:

1

3

Decimal Form:

0.

¯

3

Answered by ravisimsim
7

Answer:

3

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