Solve for x, (3^2x)− 80 = 0?

1 Answer
Jim G.
Nov 2, 2017

#x~~ 1.9943" to 4 dec. places"#

Explanation:

#"using the "color(blue)"law of logarithms"#

#•color(white)(x)logx^nhArrnlogx#

#3^(2x)-80=0#

#rArr3^(2x)=80#

#"take the ln (natural log) of both sides"#

#rArrln3^(2x)=ln80#

#rArr2xln3=ln80#

#rArrx=ln80/(2ln3)=ln80/(ln9)~~ 1.9943" to 4 dec. places"#

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