SOLUTION: Write the equations in logarithmic form. (a) 729 = 9^3 (b) 36 =(1/6)^-2 (c) a = b^c

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Write the equations in logarithmic form. (a) 729 = 9^3 (b) 36 =(1/6)^-2 (c) a = b^c       Log On


   

Question 770169: Write the equations in logarithmic form.
(a) 729 = 9^3
(b) 36 =(1/6)^-2
(c) a = b^c
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
(b) 36 =(1/6)^-2
Is a fraction base common for this?
%281%2F6%29%5E-2=6%5E2, so the equation could be written, 36=6%5E2.
log%286%2C36%29=2

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Note that exponential form shows a base and an exponent applied to that base:
b%5En=m, is an equation in exponential form. The base is b, and the exponent is n.
log%28b%2Cm%29=n is the same equation in logarithmic form. n is still an exponent, but here it is called a logarithm. The base is shown as a subscript on the "log" notation.