How do you solve this using logarithms?

Question

Use logarithms to find #x#

#3(x)^0.6223=1.266#

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Answer 1 · 2018-04-20T07:53:13

#color(blue)(x=e^((ln(0.422))/0.6223)~~0.2499763052)#

#3x^(0.6223)=1.266#

Divide by 3:

#x^(0.6223)=0.422#

Taking natural logarithms of both sides:

#0.6223ln(x)=ln(0.422)#

Divide by #0.6223#:

#ln(x)=(ln(0.422))/0.6223#

Raising #bbe# to the power of each side:

#e^(ln(x))=e^((ln(0.422))/0.6223)#

#x=e^((ln(0.422))/0.6223)~~0.2499763052#