a) Rewrite as an exponential equation. ln 8=y b) Rewrite as a logarithmic equation e^x=2

Lara Cortez

Lara Cortez

Answered question

2022-10-29

a) Rewrite as an exponential equation.
ln 8 = y
b) Rewrite as a logarithmic equation
e x = 2

Answer & Explanation

Remington Wells

Remington Wells

Beginner2022-10-30Added 13 answers

Given information:
y = ln 8 e x = 2
calculation for part (a)
ln 8 = y ln 2 3 = y 3 ln 2 = y     { ln a b = b ln a } y = 2.08 e y = e 2.08     { taking exponent on both side } e 2.08 = 8     {  because  e 2.08 = 8  and  y = 2.08 }
The exponential form of ln ( 8 ) is shown as
e 2.08
Amira Serrano

Amira Serrano

Beginner2022-10-31Added 3 answers

(B)
e x = 2 ln ( e x ) = ln 2 {  taking log on both side } x ln e = ln 2     { log ( a b ) = b log a } x = ln 2     { ln e = 1 }
The logarithmic form part (b) is x = ln 2

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