log7(117) = 2.447273291
22.807354922 or log7(2)
logx(3) = log10(7) (assumed the common logarithm (base 10) for "log7") x^(logx(3)) = x^(log10(7)) 3 = x^(log10(7)) log10(3) = log10(x^(log10(7))) log10(3) = log10(7)log10(x) (log10(3)/log10(7)) = log10(x) 10^(log10(3)/log10(7)) = x
When solving this problem:1/2log7x = log720 - 2(log72 + log75)There are two things to note:lognx + logny = logn(xy)a(lognx) = lognxaUsing those two rules, we can simplify the given expression:1/2log7x = log720 - 2(log72 + log75)log7x1/2 = log720 - 2(log710)log7x1/2 = log720 - log7102log7x1/2 = log720 - log7100log7x1/2 = log7(1/5)√x = 1/5x = 1/25
Solve log7 (X+1) + log7 (x-5)=1
Yes.
log7(117) = 2.447273291
22.807354922 or log7(2)
X>0
2 log(4y) = log7(343) - log5(25)log7(343) = 3log5(25) = 22 log(4y) = 3 - 2 = 1log(4y) = 0.54y = sqrt(10)y = 0.25 sqrt(10)y = 0.79057 (rounded)
logx(3) = log10(7) (assumed the common logarithm (base 10) for "log7") x^(logx(3)) = x^(log10(7)) 3 = x^(log10(7)) log10(3) = log10(x^(log10(7))) log10(3) = log10(7)log10(x) (log10(3)/log10(7)) = log10(x) 10^(log10(3)/log10(7)) = x
We must assume that the question is asking us to determine the value of 'x'.log(7) + log(x) = 2log(7x) = 27x = 102 = 100x = 100/7 = 14.2857 (rounded)
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When solving this problem:1/2log7x = log720 - 2(log72 + log75)There are two things to note:lognx + logny = logn(xy)a(lognx) = lognxaUsing those two rules, we can simplify the given expression:1/2log7x = log720 - 2(log72 + log75)log7x1/2 = log720 - 2(log710)log7x1/2 = log720 - log7102log7x1/2 = log720 - log7100log7x1/2 = log7(1/5)√x = 1/5x = 1/25