Math, asked by saminaanwarh380, 1 year ago

find the value of log 8 to the base root 2​

Answers

Answered by Anonymous
5

Rewrite as an equation.

log8(2)=x

Rewrite log8(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 logb(x)=y is equivalent to by=x

.

8x=2

Create expressions in the equation that all have equal bases.

(23)x=21

Rewrite (23)x

as 23x

.

23x=21

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

3x=1

Solve for x

.

x=13

The variable x

is equal to 13

.

13

The result can be shown in multiple forms.

Exact Form:

13

Decimal Form:

0.¯3

Answered by Anonymous
7

Answer:

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