# How do you solve this logarithmic function?

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#(16/25)^(x+3)=(125/64)^(x-1)#

##### 1 Answer

Please see the explanation.

#### Explanation:

Use either the natural or base 10 logarithm on both sides. (I will use the natural logarithm):

Use the property of all logarithms

Use the distributive property on both sides:

Move the x terms to the left and the constant terms to the right:

Factor out x on the left:

Divide both sides by the coefficient of x:

Multiply the denominator by the -1 in front: