Question

2^3X+2=4^X+5

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Answer 1

\(2^{3x+2}=4^{x+5}\)

=> \(2^{3x+2}=2^{2\left(x+5\right)}\)

=> \(3x+2=2\left(x+5\right)\)

=>\(3x+2=2x+5\)

=>\(3x+2=2x+3+2\)

=> \(3x=2x+3\)

=> \(3x-2x=3\)

=> \(x=3\)

Answer 2

4^x+5 = (2²)^x+5

       = 2^2x+10

2^3x+2=2^2x+10

3x+2=2x+10

x=10-2=8

Answer 3

\(2^{3x+2}=4^{x+5}\)

\(\Leftrightarrow2^{3x+2}=\left(2^2\right)^{x+5}=2^{2x+10}\)

\(\Leftrightarrow3x+2=2x+10\)

\(\Leftrightarrow3x-2x=10-2\)

\(\Leftrightarrow x=8\)

Answer 4

2^3x+2=4^x+5

=>2^3x+2=(2²)^x+5

=>2^3x+2=2^2x+10

=>3x+2=2x+10

=>3x-2x=10-2

=>x=8

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