SOLUTION: I have spent hours on this problem and cannot solve it. There must be a step I am missing. Log3 65 a=3, x=65, b=10 Log3 65 = log 65/log 3 = approx. 3.7997 (the 3 on log is su

Question 401140: I have spent hours on this problem and cannot solve it. There must be a step I am missing. Log3 65 a=3, x=65, b=10
Log3 65 = log 65/log 3 = approx. 3.7997 (the 3 on log is subscript)
How do you get that answer? I have a bunch to work .

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
I have spent hours on this problem and cannot solve it. There must be a step I am missing. Log3 65 a=3, x=65, b=10
Log3 65 = log 65/log 3 = approx. 3.7997 (the 3 on log is subscript)
How do you get that answer? I have a bunch to work
To solve this problem you need to remember the exponential form of logarithms; that is, the base raised to the logarithm of the number is equal to the number.
In your problem, the base=3,and number=65 and you need to find the logarithm of the number. So, what you have in exponential form is this:
3^x=65
using logarithms to solve for x, the logarithm of 65 with base=3
xlog3=log65
x=log65/log3
x=3.79969104
When working with logarithms,if you have 2 of the factors mentioned above, you can always find the third.
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