SOLUTION: Hi, I'm stuck and have a test tomorrow which will likely contain a question like this. Any help is appreciated, thanks. This section is on logarithms even though it is not mention

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi, I'm stuck and have a test tomorrow which will likely contain a question like this. Any help is appreciated, thanks. This section is on logarithms even though it is not mention      Log On


   

Question 971894: Hi, I'm stuck and have a test tomorrow which will likely contain a question like this. Any help is appreciated, thanks.
This section is on logarithms even though it is not mentioned in the question.
10 · 2x = 11
I know the answer is {0.1375}. But how do you get to it?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
x=11%2F%2810%2A2%29

log%2810%2Cx%29=log%2810%2C11%29-log%2810%2C10%29-log%2810%2C2%29

log%2810%2Cx%29=log%2810%2C11%29-1-log%2810%2C2%29

log%2810%2Cx%29=1.0413927-1-0.30103

log%2810%2Cx%29=-0.259637

anitlog of -0.259637 base 10,
highlight%280.55000%29

Did that work?
x=11%2F%2810%2A2%29
x=11%2F%2820%29
x=%2811%2F20%29%285%2F5%29
x=0.55
yes


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You expected the wrong answer. You show a multiplication problem:
left member is product of the factors 10, 2, and x;
right member is the product result, 11.
The equation can be solved using logarithms. The steps are shown as the solution process and result for your exercise question.