What is the answer to (32^x)/8 =8^{150} ?

The answer to (32^x)/8 =8^{150} is x= 453/5

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(32^x)/8 =8^{150}

\frac{3 2 ^{x}}{8} = 8^{150}

x = \frac{453}{5}

Decimal Notation

x = 90.6

Solution steps

\frac{3 2 ^{x}}{8} = 8^{150}

Multiply both sides by

8

\frac{3 2 ^{x}}{8} \cdot 8 = 8^{150} \cdot 8

Simplify

8^{150} \cdot 8 : 8^{151}

3 2^{x} = 8^{151}

Apply exponent rules

5 x = 453

Solve

5 x = 453 : x = \frac{453}{5}

x = \frac{453}{5}

6. 9^{x} = (0.3)^{- x}

5 (1.08)^{x} = 20

2^{2 x + 1} = 5

2^{2 x + 1} = 0

3 \cdot 9^{x} + 8 \cdot 3^{x} - 3 = 0

What is the answer to (32^x)/8 =8^{150} ?
The answer to (32^x)/8 =8^{150} is x= 453/5
Solve for x: (32^x)/8 =8^{150}
The solution is x= 453/5