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How do you solve #7^x=1/49#?

Answer 1

Elijah Allen

By arranging the equation

#7^x = 1/49 = 1/(7^2)#

#(7^x)times(7^2)=1#

Any number to the zeroth power is 1.

#x+2 = 0#

#x=-2#

This is your answer #x=-2#

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Answer 2

Cora Alexander

To solve the equation 7^x = 1/49:

Rewrite 1/49 as 7^(-2), because 7^(-2) equals 1/49.
Set the exponents equal to each other: x = -2.

Therefore, the solution to the equation 7^x = 1/49 is x = -2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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