Question

Find the value of log7 1/7

Answer 1

Answer:

Rewrite s an equation

$log_{7}( \frac{1}{7} ) = x$

Rewrite log7(1/7)=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

${b}^{y = x}$

${7}^{x} = \frac{1}{7}$

create equivalent equation in the equation that all have equal bases

$7x = {7}^{ - 1}$

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

$x = - 1$

The variable x is equal to -1.

-1

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Answer 2

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Step-by-step explanation:

rewrite the log1/7 to the base 7 = x

7 to the power x = 1/7

7^x=1/7

7^x =7^-1

so,answer is -1