If x= 27 and y = log3 4
, then xy =
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Since y = log3 4 (log to the base 3 of 4), we first want to convert it to a base 10
logarithm.
We can use the following equation, where…
logb x = logd x / logd b
b = 3
x = 4
d = 10
log3 4 = log10 4 / log10 3
usual notation:
log3 4 = log 4 / log 3
log3 4 = 0.6021 / 0.4771
log3 4 = 1.261859507
Since y = log3 4, and x = 27, then…
x^y = 27^1.26186
x^y = 64
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logarithm.
We can use the following equation, where…
logb x = logd x / logd b
b = 3
x = 4
d = 10
log3 4 = log10 4 / log10 3
usual notation:
log3 4 = log 4 / log 3
log3 4 = 0.6021 / 0.4771
log3 4 = 1.261859507
Since y = log3 4, and x = 27, then…
x^y = 27^1.26186
x^y = 64
Hope this answer helped you.
Mark me as brainliest and follow me
Thank you
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