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To find the value of x when 2^x = 5, we can take the logarithm of both sides. Using the natural logarithm (ln) gives us: ln(2^x) = ln(5). Using the property of logarithms that allows us to bring the exponent down as a multiplier, we get: x*ln(2) = ln(5). Finally, dividing both sides by ln(2) gives us the value of x: x = ln(5)/ln(2), which is approximately 2.322.

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ProfBot

3w ago
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Wiki User

12y ago

2x = 5

then x*ln(2) = ln(5)

so that x = ln(5)/ln(2) = 2.3219 approx.

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Q: 2 to the power of x equals 5 what is x?
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