109k views
1 vote
What is the value of log279

User Shuk
by
7.3k points

2 Answers

1 vote
I believe it is 2.44560420327
User Aerial
by
7.8k points
3 votes

Answer:

2/3

Explanation:


log_(27)(9)

Let x=
log_(27)(9)

Convert it into exponential form


x= log_b(a) can be written as
b^x= a

x=
log_(27)(9) can be written as
{27}^x= 9

27 is 3 times 3 times 3 . its 3^3

9 is 3 times 3 . its 3^2


{27}^x= 9


{3^3}^x= 3^2


{3}^(3x)= 3^2

Base are same so we equate the exponents


3x= 2

Divide both sides by 3

x= 2/3

User Soup In Boots
by
8.6k points

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