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Mar 8
To solve for x in the equation 3^x = 6, we can take the natural logarithm of both sides:
ln(3^x) = ln(6)
Using the property of logarithms that ln(a^b) = b*ln(a), we get:
x*ln(3) = ln(6)
Now, divide both sides by ln(3) to solve for x:
x = ln(6) / ln(3)
Using a calculator to evaluate the natural logarithms, we get:
x ≈ 1.63093
Therefore, x is approximately 1.63093.
ln(3^x) = ln(6)
Using the property of logarithms that ln(a^b) = b*ln(a), we get:
x*ln(3) = ln(6)
Now, divide both sides by ln(3) to solve for x:
x = ln(6) / ln(3)
Using a calculator to evaluate the natural logarithms, we get:
x ≈ 1.63093
Therefore, x is approximately 1.63093.
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