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Write the exponential equation in logarithmic form.\newlinee34≈2.117 e^{\frac{3}{4}} \approx 2.117

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Full solution

Q. Write the exponential equation in logarithmic form.\newlinee34≈2.117 e^{\frac{3}{4}} \approx 2.117
  1. Identify variables: Identify bb, xx, and yy. Compare e34≈2.117e^{\frac{3}{4}} \approx 2.117 with by=xb^y = x. b=eb = e x=2.117x = 2.117 y=34y = \frac{3}{4}
  2. Convert to logarithmic form: Convert the exponential equation to logarithmic form. Substitute b=eb = e, x=2.117x = 2.117, and y=34y = \frac{3}{4} in log⁡b(x)=y\log_b(x) = y. Logarithmic equation: ln⁡(2.117)≈34\ln(2.117) \approx \frac{3}{4}

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