Answer:
x=3
Step-by-step explanation:
First we should subtract 14 from both sides, getting 64 * 3^x = 1728. Then we can divide by 64 on both sides, leaving us with 3^x=27. x is equal to 3.
Step 1: Add -14 to both sides.
64(3x)+14+−14=1742+−14
64(3x)=1728
Step 2: Divide both sides by 64.
64(3x)
64
=
1728
64
3x=27
Step 3: Solve Exponent.
3x=27
log(3x)=log(27)(Take log of both sides)
x*(log(3))=log(27)
x=
log(27)
log(3)
x=3
Answer:
x=3
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