Question

If $4^x$ = 64, then which of the following is/are true?

• A. $2^x=8$
• B. $3^x=27$
• C. $x^3=9$
• D. ${10}^x$=10000

Answer 1

Answer: (A), (B)

The correct options are
A

$2^x=8$

B

$3^x=27$

Given, $4^x=64$
$\Rightarrow 4^x=4^3$ ($\because 64=4\times 4\times 4=4^3$ )
$\Rightarrow x=3$
Now,
$2^x=2\times 2\times 2=8$
$3^x=3\times 3\times 3=27$
$x^3=3^3=3\times 3\times 3=27$
${10}^x=10\times 10\times 10=1000$
Hence the answer.