Answer:
Step-by-step explanation:
18^y = 4/6 Take the log of both sides
log(18^y) = log(4/6)
log(18^y) = y * log(18)
log (4/6) = - 0.17609
y * log(18) = y * 1.25527
So
y = - 0.17609 / 1.25527
y = - 0.14056
Check
18^-0.14056 = 0.6661 which is close enough to 0.666666666
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z^4 = 8/5 Take the log of both sides.
log(z^4) = log(8/5) Simlplify the left. Take the log of the right.
4 * log(z) = 0.20416 Divide by 4
log(z) = 0.20416 /4
log(z) = 0.051029 Take the antilog of both sides.
z = 10^(0.051029)
z = 1.12467
Check
1.12467 ^ 4 = 1.6 which is what it should be.
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I can't really make out the third one.
