# Answer to Question #24228 in Algebra for renea

Question #24228

Write the equations in logarithmic form.

(a) 729 =(^3

(b) 64= (1/8) ^-2

(c) a=B^c

(a) 729 =(^3

(b) 64= (1/8) ^-2

(c) a=B^c

Expert's answer

(a) 729 =9^3

In this example, the base is 4 and the base moved from the

right side of the exponential equation to the left side of the

logarithmic equation and the word “log” was added:

log

(b) 64= (1/8) ^-2

the base is 1/8:

log

(c) a=B^c

the base is B:

log

In this example, the base is 4 and the base moved from the

right side of the exponential equation to the left side of the

logarithmic equation and the word “log” was added:

log

_{9}729 = 3(b) 64= (1/8) ^-2

the base is 1/8:

log

_{1/8}64 = -2(c) a=B^c

the base is B:

log

_{B}a = c
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