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Write the exponential equation in logarithmic form.\newlinee2.5≈12.1825e^{2.5} \approx 12.1825

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Full solution

Q. Write the exponential equation in logarithmic form.\newlinee2.5≈12.1825e^{2.5} \approx 12.1825
  1. Identify variables: Identify bb, xx, and yy. Compare e2.5≈12.1825e^{2.5} \approx 12.1825 with by=xb^y = x. b=eb = e x=12.1825x = 12.1825 y=2.5y = 2.5
  2. Convert to logarithmic form: Convert the exponential equation to logarithmic form. Substitute b=eb = e, x=12.1825x = 12.1825, and y=2.5y = 2.5 in log⁡b(x)=y\log_b(x) = y. Logarithmic equation: ln⁡(12.1825)≈2.5\ln(12.1825) \approx 2.5
  3. Find missing value: Identify the missing value in ln⁡ ____≈2.5 \ln \, \_\_\_\_ \approx 2.5 . ln⁡(12.1825)≈2.5 \ln(12.1825) \approx 2.5 Missing value: 12.1825 12.1825

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