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Simplify e^(ln 5+ln 8) and write without any logarithms. Answer:

Simplify eln⁡5+ln⁡8 e^{\ln 5+\ln 8} and write without any logarithms.\newlineAnswer:

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Csc, sec, and cot of special anglesright chevron icon

Full solution

Q. Simplify eln⁡5+ln⁡8 e^{\ln 5+\ln 8} and write without any logarithms.\newlineAnswer:
  1. Apply logarithm property: Use the property of logarithms that states ln⁡(a)+ln⁡(b)=ln⁡(a⋅b)\ln(a) + \ln(b) = \ln(a \cdot b).eln⁡5+ln⁡8=eln⁡(5⋅8)e^{\ln 5 + \ln 8} = e^{\ln(5 \cdot 8)}
  2. Simplify inside logarithm: Simplify the expression inside the logarithm. eln⁡(5×8)=eln⁡(40)e^{\ln(5 \times 8)} = e^{\ln(40)}
  3. Use exponent property: Use the property of exponents and logarithms that states eln⁡x=xe^{\ln x} = x.eln⁡(40)=40e^{\ln(40)} = 40

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