1. Convert from exponential to logarithmic form 10^2=100

Solution:
Convert from exponential form to logarithmic form
`b^y=x => y=log_b(x)`

Identify the values of b, y and x
`10^2=100`

So `b=10,y=2,x=100`

`:. 10^2=100 => 2=log_10(100)`

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2. Convert from exponential to logarithmic form 2^3=8

Solution:
Convert from exponential form to logarithmic form
`b^y=x => y=log_b(x)`

Identify the values of b, y and x
`2^3=8`

So `b=2,y=3,x=8`

`:. 2^3=8 => 3=log_2(8)`

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3. Convert from exponential to logarithmic form 2^5

Solution:
Convert from exponential form to logarithmic form
`b^y=x => y=log_b(x)`

Identify the values of b, y and x
`2^5=32`

So `b=2,y=5,x=32`

`:. 2^5=32 => 5=log_2(32)`

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4. Convert from exponential to logarithmic form x^2

Solution:
Convert from exponential form to logarithmic form
`b^y=x => y=log_b(x)`

Identify the values of b, y and x
`x^2=m`

So `b=x,y=2,x=m`

`:. x^2=m => 2=log_x(m)`