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21teunissen149
12.11.2020 •
Mathematics
PLS HELP OFFERING 15 POINTS
Solve the equation for x.
2^(x+1) = 3^(-x+1)
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Ответ:
x=0.2262943855
Step-by-step explanation:
Properties of exponents: 2^(x+1)=(2^x)(2^1)=2(2^x)
Properties of exponents: 3^(-x+1)=(3^-x)*(3^1)=(1/(3^x))*3=3/(3^x)
So:
2(2^x)=3/(3^x)
2(2^x)(3^x)=3
2(6^x)=3 (Remember that different bases w/ same exponents have their bases multiplied)
6^x=1.5
Take the base 6 logarithm: log6(6^x)=log6(1.5)
x=0.2262943855
Ответ:
it would be 5
Step-by-step explanation:because i just did this problem