Question

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What is the value of log3 (1/9) + logg 817​

Answer 1

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Algebra Examples

Popular Problems Algebra Evaluate log base 3 of 1/9

log

3

(

1

9

)

Rewrite as an equation.

log

3

(

1

9

)

=

x

Rewrite

log

3

(

1

9

)

=

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

.

3

x

=

1

9

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

3

x

=

3

−

2

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

x

=

−

2

The variable

x

is equal to

−

2

.

−

2