Solve each equation. \log_{x}16=2

djeljenike

djeljenike

Answered question

2021-09-19

Solve each equation.
logx16=2

Answer & Explanation

Nola Robson

Nola Robson

Skilled2021-09-20Added 94 answers

Step 1
Given equation needs to be solved for x. First property that will be used to simplify the equation is
logabm=mlogab.
Second property of logarithm that will be used is alogab=b. Alternate way to solve the equation is to use the property logx16=2 is equivalent to the equation 16=x2.
Step 2
The given equation is logx16=2. Simplify and solve this equation for x using properties of logarithm.
logx16=2
logx42=2
2logx4=2
logx4=1
xlogx4=x1
4=x
Hence, solution of the given equation is x=4.

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