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    1) How do you simplify log equations when they are being added to another number, eg 2 + log3?

    2) I'm stuck on this question attached as an image. To solve it, I moved the 1/2 from the beginning and did (1+ 9/16) ^ 1/2, then merged them using the adding/multiplication rule, but it became quite complex and I didn't get the right answer (which is 3)

    Thanks in advance for your help!
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    (Original post by Sint)
    1) How do you simplify log equations when they are being added to another number, eg 2 + log3?

    2) I'm stuck on this question attached as an image. To solve it, I moved the 1/2 from the beginning and did (1+ 9/16) ^ 1/2, then merged them using the adding/multiplication rule, but it became quite complex and I didn't get the right answer (which is 3)

    Thanks in advance for your help!
    1) 2+\log(3)=2\log(10)+\log(3)=\log  (10^2)+\log(3)=\log(3\cdot 10^2)=\log(300) assuming \log denotes \log_{10}

    2) There's nothing to solve, I assume you meant simplify? 1+\frac{9}{16}=\frac{25}{16} so what is \sqrt{\frac{25}{16}}?? Then you should end up with \log_5(10^2)+ \log_5(\sqrt{\frac{25}{16}}) and just use your log rules to simplify.
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    (Original post by RDKGames)
    1) 2+\log(3)=2\log(10)+\log(3)=\log  (10^2)+\log(3)=\log(3\cdot 10^2)=\log(300) assuming \log denotes \log_{10}

    2) There's nothing to solve, I assume you meant simplify? 1+\frac{9}{16}=\frac{25}{16} so what is \sqrt{\frac{25}{16}}?? Then you should end up with \log_5(10^2)+ \log_5(\sqrt{\frac{25}{16}}) and just use your log rules to simplify.

    Thanks! Yeah I did mean simplify. Oops.
 
 
 
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