SOLUTION: logarithmic expression for x
log12 x/30=2
Says you can also convert to an exponential equation but isn't required.
Which way is easier and how would you do both?
Question 1061991: logarithmic expression for x
log12 x/30=2
Says you can also convert to an exponential equation but isn't required.
Which way is easier and how would you do both? Found 2 solutions by math_helper, MathTherapy:Answer by math_helper(2461) (Show Source):
You can put this solution on YOUR website! log12 (x/30) = 2
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Use this to convert to base e: log_b( n ) = ln( n ) / ln(b)
— (convert to exponential, e^(both sides))
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Ans: x=4320
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Check: log12(4320 / 30) = log12(144) = 2 (ok)
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Sorry, forgot to address the question about not using exponential. The only ways (that I can see) without using exponentiation would be to use trial-and-error or to reason it out. For example, one can ask this question log12(n) = 2, what is n? Well, n has to be 144 because 12^2 = 144. With that knowledge, one can say what x is, given x/30 = 144? x = 30*144 = 4320. However, this approach probably gets more challenging if the exponent is not an integer :-)
You can put this solution on YOUR website! logarithmic expression for x
log12 x/30=2
Says you can also convert to an exponential equation but isn't required.
Which way is easier and how would you do both?
Easier method:
------- Converting to EXPONENTIAL form
----- Cross-multiplying
LOGARITHMIC method:
------- Applying change-of-base
----- Cross-multiplying
----- Applying ------- If log a = log b, then a = b
----- Cross-multiplying
