Exponents Of Real Numbers — Maths STD 9 — Question
Maharashtra BoardEnglish MediumSTD 9MathsExponents Of Real Numbers1 Mark
MCQ
If $(2^3)^2$ = $4^x$, then $3^x =$
A
$3$
B
$6$
C
$9$
✓
$27$
✓
Answer
Correct option: D.
$27$
We have to find the value of $3^x$ provided $\left(2^3\right)^2=4^x$So,
$2^{3 \times 2}=2^{2 x}$
$2^6=2^{2 x}$
By equating the exponents we get
$6=2 x$
$\frac{6}{2}=x$
$3=x$
By substituting in $3^{ x }$ we get
$3^x=3^3$
$=27$
The value of $3^x$ is $27$
Hence the correct choice is $d.$
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