Question

Solve this equation:(Find the value of x)2^x = 5 × 3^{x + 3}​

Answer 1

The value of x in the expression is –12.1

Data obtained from the question

• 2ˣ = 5 × 3⁽ˣ ⁺ ³⁾

• Value of x =?

How to determine the value of x

Please see attached photo for explanation

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Answer 2

$\\ \sf\longmapsto 2^x=5(3^{x+3}$

$\\ \sf\longmapsto 2^x=5(3^x3^3)$

$\\ \sf\longmapsto \dfrac{2^x}{3^x}=5(27)=135$

$\\ \sf\longmapsto (\dfrac{2}{3})^x=135$

$\\ \sf\longmapsto 0.6^x=135$

• x$\not{\in}$Z