What is the answer to 4^x+2^5=3*2^{x+2} ?

The answer to 4^x+2^5=3*2^{x+2} is x=3,x=2

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4^x+2^5=3*2^{x+2}

4^{x} + 2^{5} = 3 \cdot 2^{x + 2}

x = 3, x = 2

Solution steps

4^{x} + 2^{5} = 3 \cdot 2^{x + 2}

Move

2^{5}

to the right side

4^{x} = 3 \cdot 2^{x + 2} - 32

Apply exponent rules

(2^{x})^{2} = 3 \cdot 2^{x} \cdot 2^{2} - 32

Rewrite the equation with

2^{x} = u

(u)^{2} = 3 u \cdot 2^{2} - 32

Solve

u^{2} = 3 u \cdot 2^{2} - 32 : u = 8, u = 4

u = 8, u = 4

Substitute back

u = 2^{x},

solve for

x

Solve

2^{x} = 8 : x = 3

Solve

2^{x} = 4 : x = 2

x = 3, x = 2

1 + 2 e^{x + 1} = 9

4^{x - 1} = 3

x^{7} = 7^{x}

e^{1 - 2 x} = e^{3 x - 5}

8^{2 x + 3} = 2^{a} b^{x}

What is the answer to 4^x+2^5=3*2^{x+2} ?
The answer to 4^x+2^5=3*2^{x+2} is x=3,x=2
Solve for x: 4^x+2^5=3*2^{x+2}
The solution is x=3,x=2