Solve for x, 7^x=6^(x+2.1)

Solve using log or natural log
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1 Answer

7^x =6^(x+2.1)

x*log(7)=(x+2.1)*log(6)

x /(x+2.1)=log(6)/log(7)= 0.7781512503836476 / 0.8450980400142612

x/(x+2.1)=0.92078222116017

x=0.92078222116017*x +2.1*0.92078....

(x-0.92078222...x)=2.1*0.92078222116017

0.07921777883983005x=0.9207822211616017*2.1

x=(that stuf)/0.079217...

x=12.623428921488518*0.9207822211616017*2.1

me leev that step for yu tu du
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