What is the answer to 2^x*16=4^{3x+5} ?

The answer to 2^x*16=4^{3x+5} is x=-6/5

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2^x*16=4^{3x+5}

2^{x} \cdot 16 = 4^{3 x + 5}

x = - \frac{6}{5}

Decimal Notation

x = - 1.2

Solution steps

2^{x} \cdot 16 = 4^{3 x + 5}

Apply exponent rules

x + 4 = 2 (3 x + 5)

Solve

x + 4 = 2 (3 x + 5) : x = - \frac{6}{5}

x = - \frac{6}{5}

a, x^{a} y^{b} = 3

4^{x - 6} = \frac{1}{32} 8

- 81 = - 3^{2 x + 8}

4^{x} + 2^{x + 3} = 9

9^{y} = 81