find the value of log 4 to the base 343?
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Log x to the base a = log x/ log a
Log 4 to the base 343 = log 4/log 343
= log 2^2/ log 7^3
= 2log 2 / 3log 7
= 2*0.3010/3*0.8451
= 0.6020/2.5353
= 0.237
Answered by
1
By the change base theorem we can do this question easily:-
log₃₄₃4= log 4/log 343
=>log₃₄₃4= 2log 2/3log 7 = 2(0.3010)/3(0.845) = 0.602/2.535 = 0.23747534
log₃₄₃4= log 4/log 343
=>log₃₄₃4= 2log 2/3log 7 = 2(0.3010)/3(0.845) = 0.602/2.535 = 0.23747534
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