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ss7ja [257]
2 years ago
9

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

Mathematics
1 answer:
Roman55 [17]2 years ago
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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Please help explanation if possible
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Answer:

length = 48 feet , width = 32 feet

Step-by-step explanation:

Using

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2L - 32 + 2L = 160

4L - 32 = 160 ( add 32 to both sides )

4L = 192 ( divide both sides by 4 )

L = 48

Substitute L = 48 into W = L - 16

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