Given that loga7 = 0.845, and loga2 = 0.301, find loga343

A 0.603
B 2.535
C 1.146
D 0.254

2 answers

343 = 7^3

loga(343) = 3 loga(7)
Assuming you mean:
Given that loga(7) = 0.845, and loga(2) = 0.301, find loga(343).

Using the rule of logarithm:
loga(xn) = n*loga(x) .............(1)

From 7^3=343, we substitute in (1) x=7, n=3, so
loga(343)
=loga(73)
= 3*loga(7)
= 3*0.845
= ?
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