8^x=2 write down the value of x

Mathematics

1 answer:

e-lub [12.9K]3 years ago

4 0

Answer:

x = $\frac{1}{3}$

Step-by-step explanation:

Using the rule of exponents

$a^m^{n}$ = $a^{mn}$

Note that 8 = 2³ and 2 = $2^{1}$ , then

$(2^3)^{x}$ = $2^{1}$ , that is

$2^{3x}$ = $2^{1}$

Since the bases on both sides are equal, equate the exponents

3x = 1 ( divide both sides by 3 )

x = $\frac{1}{3}$

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