Solve the exponential equation. Express irrational solutions as decimals correct

kuCAu

kuCAu

Answered question

2021-09-08

Solve the exponential equation. Express irrational solutions as decimals correct to the nearest thousandth.
4x1=32x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is ______.
B. The solution is the empty set.

Answer & Explanation

berggansS

berggansS

Skilled2021-09-09Added 91 answers

Step 1
x=1.724
Option a is correct
Step 2
4x1=32x
=x1=log432x
=x1=2xlog43
=x12x=log43
1212x=log43
=12log43=12x
=12log432=12x
=x=112log43
=x=112(0.79)
=x=111.58
=x=10.58=1.72
=x=1.724

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