Question 1183125: I am really having trouble plugging this in correctly into my calculator. I realize that I need to solve for each side as a logarithm, but after that I am not getting the correct answer.
Solve by taking the logarithm of each side. Round answer to 3 decimal places.
4w=1976
w=
Found 3 solutions by Theo, ikleyn, josgarithmetic:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 4w = 1976
divide both sides by 4 to get:
w = 1976/4 = 494
you don't need logs to solve this.
if the equation is 4^w = 1976, then use of logs would be indicated.
you would take the log of both sides of the equation to get:
log(4^w) = log(1976)
this is equal to w * log(4) = log(1976)
solve for w to get:
w = log(1976) / log(4) = 5.474183616
confirm by replacing w in the original equation to get:
4^5.474183616 = 1976
simplify to get:
1976 = 1976
this confirms the answer is correct.
the ^ symbol signifies exponentiation.
2^3 = 2 raised to the third power = 8.
Answer by ikleyn(52898)  (Show Source):
You can put this solution on YOUR website! .
In a way, how YOU write your starting equation, IT IS A LINEAR EQUATION, which DOES NOT REQUIRE taking/using logarithm.
If your question relates to EXPONENTIAL EQUATION, then write it correctly before posting.
If you post/write your starting equation incorrectly, then there is no sense to discuss it with you.
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Ignore the post by @josgarithmetic, since he shows an extreme degree of mathematical illiteracy in his post.
Answer by josgarithmetic(39630)  (Show Source):
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