What logarithmic function represents the data in the table?


Asked by maham237 @ in Mathematics viewed by 319 People


x f(x)
216 3
1296 4
7776 5

Choices:

f(x)=logx5

f(x)=6logx

f(x)=log6^x

f(x)=log6x

Answered by maham237 @



216 =6^3
1,296 = 6^4
7,776 = 6^5
x = 6^f(x)
log x = log 6^f(x) = f(x)log 6
f(x) = log x / log 6 = log_6x

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