1. Convert from logarithmic to exponential form log(2,16)=4
Solution:
`log(2,16)=4`
Convert from logarithmic form to exponential form
`log_b(x)=y => x=b^y`
Identify the values of b, x and y
`log_2(16)=4`
So `b=2,x=16,y=4`
`:. log_2(16)=4 => 16=2^4`
2. Convert from logarithmic to exponential form log(x)=1
Solution:
`log(x)=1`
Convert from logarithmic form to exponential form
`log_b(x)=y => x=b^y`
Identify the values of b, x and y
`log_10(x)=1`
So `b=10,x=x,y=1`
`:. log_10(x)=1 => x=10^1`
3. Convert from logarithmic to exponential form log_2(8)=3
Solution:
`log(2,8)=3`
Convert from logarithmic form to exponential form
`log_b(x)=y => x=b^y`
Identify the values of b, x and y
`log_2(8)=3`
So `b=2,x=8,y=3`
`:. log_2(8)=3 => 8=2^3`
4. Convert from logarithmic to exponential form ln(5)
Solution:
`ln(5)`
`ln(5)=m`
`ln(x)=log_e(x)`
Convert from logarithmic form to exponential form
`log_b(x)=y => x=b^y`
Identify the values of b, x and y
`log_e(5)=m`
So `b=e,x=5,y=m`
`:. log_e(5)=m => 5=e^m`
This material is intended as a summary. Use your textbook for detail explanation.
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