Express th equation in exponential form. a) \log_5\left(\frac{1}{5}\right)

Trent Carpenter

Trent Carpenter

Answered question

2021-10-19

Express th equation in exponential form. a) log5(15)=1
b) log464=3

Answer & Explanation

bahaistag

bahaistag

Skilled2021-10-20Added 100 answers

Step 1
(a) Given equation log5(15)=1
Use the basic rules for logarithms, if logbc=k then solution of this expression in exponential form, bk=c
Use the basic rules in the given equation, log5(15)=1
51=15
Therefore exponential form of given equation is, 51=15.
Step 2 (b) The given equation log464=3
Use the basic rules for logarithms, if logbc=k then solution of this expression in exponential form, bk=c
Use the basic rules in the given equation,
log464=3
43=64
Therefore exponential form of given equation is, 43=64
Step 3
(a) The exponential form of log5(15)=1  is  51=15
(b) The exponential form of log464=3  is  43=64

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