What is the answer to 2^{x+58}*2^{x-58}=2^{59} ?

The answer to 2^{x+58}*2^{x-58}=2^{59} is x= 59/2

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2^{x+58}*2^{x-58}=2^{59}

2^{x + 58} \cdot 2^{x - 58} = 2^{59}

x = \frac{59}{2}

Decimal Notation

x = 29.5

Solution steps

2^{x + 58} \cdot 2^{x - 58} = 2^{59}

Apply exponent rules

2 x = 59

Solve

2 x = 59 : x = \frac{59}{2}

x = \frac{59}{2}

e^{x} = 1000

3^{3 x - 2} = 9^{x}

2^{x} + 2^{x + 3} = 18

5^{3 x} = 25

2 = (1.12)^{x}

What is the answer to 2^{x+58}*2^{x-58}=2^{59} ?
The answer to 2^{x+58}*2^{x-58}=2^{59} is x= 59/2
Solve for x: 2^{x+58}*2^{x-58}=2^{59}
The solution is x= 59/2