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Solve the exponential equation. Round your answer to the nearest hundredth:6^r = 51

User Bilal
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1 Answer

6 votes

given the expresion


6^r=51

we will use logarithm rules to solve this


ln(6^(r))=ln(51)

given the following logarithm rule


ln(a^b)=bln(a)

thus


rln(6)=ln(51)
r=(ln(51))/(ln(6))
r=(3.931)/(1.791)
r=2.194

then

r= 2.20

User RFH
by
7.6k points

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