3 years ago

The value of x in the equation 4^(2x+5)=8^(3x)

1 answer:

3 0

4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ

But 4 = 2² and 8 = 2³

4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ

2²⁽²ˣ ⁺ ⁵⁾ = (2³)³ˣ

Multiply out the powers, also since the

2⁴ˣ ⁺ ¹⁰ = 2⁹ˣ

Since the bases are the same, hence the powers are also the same.

4x + 10 = 9x

4x - 9x = -10

-5x = -10

x = -10/-5

x = 2

Hope this explains it.

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