Question

2 power 3 (5 power 0 + 3 power 2x)= 8 mixed 8/27

Answer 1

Tq u if u like it plz mark it as brain list

Answer 2

X = -1.5

Given:

$2^{3}(5^{0} +3^{2x}) = 8\frac{8}{27}$

To Find:

The value of x.

Solution :

$2^{3}(5^{0} +3^{2x}) = 8\frac{8}{27}$

Convert the mixed fraction into the proper fraction by adding the product of the whole number and denominator to the numerator over the value of the denominator.

$8(1+3^{2x})=\frac{224}{27}\\\\\\ 1+ 3^{2x} = \frac{224}{216}\\\\1+ 3^{2x} = \frac{28}{27}\\ \\3^{2x} = \frac{28}{27} -1\\\\3^{2x} = \frac{28-27}{27}\\\\3^{2x} = \frac{1}{27}\\\\3^{2x} = \frac{1}{3^{3} }\\\\3^{2x} = 3^{-3}$

To satisfy the equation

2x = -3

x= -3/2

x= -1.5

Therefore, X = -1.5

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