- #1
JDK
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Hello,
The following problem is bothering me quite a bit. It is...
Solve.
3 x 2^x = 12
The Unit this question is in is about solving exponential equations through expressing each side as a power of the same base, by taking a base (x) logarithm of each side or taking a base 10 logarithm of each side.
The answer is supposed to be 2. Here are my calculations.
3 x 2^x = 12
log 3 + xlog 2 = log 12
x(log 3 - log 2) = log 12
xlog 3/2 = log 12
x = log 12 / log 2/3
Now this is incorrect for probably more then one reason. I've had success doing the questions of the form... 3^3x-1 = 9^2x. But when they introduced multiplication on the left side of the eq I got lost. Also I noticed that 3 or 2 cannot have a whole number exponent to make 12. Confusion is upon me. Thanks for the help in advance!
The following problem is bothering me quite a bit. It is...
Solve.
3 x 2^x = 12
The Unit this question is in is about solving exponential equations through expressing each side as a power of the same base, by taking a base (x) logarithm of each side or taking a base 10 logarithm of each side.
The answer is supposed to be 2. Here are my calculations.
3 x 2^x = 12
log 3 + xlog 2 = log 12
x(log 3 - log 2) = log 12
xlog 3/2 = log 12
x = log 12 / log 2/3
Now this is incorrect for probably more then one reason. I've had success doing the questions of the form... 3^3x-1 = 9^2x. But when they introduced multiplication on the left side of the eq I got lost. Also I noticed that 3 or 2 cannot have a whole number exponent to make 12. Confusion is upon me. Thanks for the help in advance!