Question

if 16^2×8^4=4^x find x​

Answer 1

Heya user ! ✋

• please find the solution to your question in the attached image above.

Thank you! hope it helps ☺

Answer 2

Answer:

Given :

Equation =

$16 {}^{2} \times 8 {}^{4} = 4 {}^{x}$

What to find out = value of x?

Formulae used =>

$(1)a {}^{m} = a {}^{n} \\ = m = n \\ (2) \: a {}^{m} \times a {}^{n} = a {}^{m + n} \\ \:( 3) \: (a {}^{m} ) {}^{n} = a {}^{mn}$

Solution :✈

$16 {}^{2} \times 8 {}^{4} = 4 {}^{x } \\ let \: the \: base \: of \: all \: terms \: same \\ (2 {}^{4} ) {}^{2} \times (2 {}^{3} ) {}^{4} = (2 {}^{2} ) {}^{x} \\ = (2) {}^{8} \times (2) {}^{12} = (2) {}^{2x} \\ = (2) {}^{8 + 12} = (2) {}^{2x} \\ = (2) {}^{20} = (2) {}^{2x} \\ = now \: compare \: the \: powers \\ = 2x = 20 \\ = x = \frac{20}{2} = 10 \: \: ans \:$

Hence the value of X = 10 Answer.