Asked by we
If log₈ 3x +5 = log₈26, what is the value of x?
If possible, enter your answer as an integer, like this: 42
If your answer must be rounded, enter it as a decimal rounded to one place, like this: 42.5
I got 0.0002 but it says it's wrong. Can someone walk me through the process of this problem?
If possible, enter your answer as an integer, like this: 42
If your answer must be rounded, enter it as a decimal rounded to one place, like this: 42.5
I got 0.0002 but it says it's wrong. Can someone walk me through the process of this problem?
Answers
Answered by
oobleck
recall that loga + logb = log(ab)
So, you have
log3x + log 8^5 = log 26
log (3x * 8^5) = log26
3x * 8^5 = 26
x = 26/(3*8^5) = 0.0002644
So you are right, as it is written. However, to illustrate that parentheses are important,
log(3x+5) = log26
3x+5 = 26
3x = 21
x = 7
Looks better, eh?
So, you have
log3x + log 8^5 = log 26
log (3x * 8^5) = log26
3x * 8^5 = 26
x = 26/(3*8^5) = 0.0002644
So you are right, as it is written. However, to illustrate that parentheses are important,
log(3x+5) = log26
3x+5 = 26
3x = 21
x = 7
Looks better, eh?
Answered by
we
Wow thank you. Your response was very detailed and correct :)
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