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Math Help - Exponents and Logarithms-- 3 questions.

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    Exponents and Logarithms-- 3 questions.

    Hi there i dont know if i should make separate threads maybe some one could let me know if so but here are three question i wanted to check if i was right or wrong without further adieu

    1) Graph the following function: f(x)=-\log(x+2)-1 when i usually see a log function graph question i change to exponential form and when i do i get 10^1=-(x+2) should it be y+1=-(x+2) ?

    2)Solve the following question leave in exact form: (6^{3x+1})=(2^{2x-3}) which i turn into 3x+1\log(6)=2x-3\log(2) then i factor it out and bring x's together and solve from there i get x= 1/24
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    Re: Exponents and Logarithms-- 3 questions.

    Let us see what have you tried so far.
    Thanks from Shakarri
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    Re: Exponents and Logarithms-- 3 questions.

    Quote Originally Posted by Gurp925 View Post
    2)Solve the following question leave in exact form: (6^{3x+1})=(2^{2x-3}) which i turn into 3x+1\log(6)=2x-3\log(2) then i factor it out and bring x's together and solve from there i get x= 1/24
    No, this should be \displaystyle \begin{align*} \left( 3x + 1 \right) \log{(6)} = \left( 2x - 3 \right) \log{(2)} \end{align*}.
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    Re: Exponents and Logarithms-- 3 questions.

    Quote Originally Posted by Gurp925 View Post
    Hi there i dont know if i should make separate threads maybe some one could let me know if so but here are three question i wanted to check if i was right or wrong without further adieu

    1) Graph the following function: f(x)=-\log(x+2)-1 when i usually see a log function graph question i change to exponential form and when i do i get 10^1=-(x+2) should it be y+1=-(x+2) ?
    No "logarith" is not linear and neither is an exponent.

    2)Solve the following question leave in exact form: (6^{3x+1})=(2^{2x-3}) which i turn into 3x+1\log(6)=2x-3\log(2) then i factor it out and bring x's together and solve from there i get x= 1/24
    Did you try just putting 1/24 into the equation? Even without using a calculator it should be easy to see that (3/24)+ 1 is positive (so 6 to that power is greater than 1) while (2/24)- 1 is negative (so 2 to that power is less than 1).
    Last edited by HallsofIvy; June 3rd 2013 at 05:39 AM.
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    Re: Exponents and Logarithms-- 3 questions.

    Here is the graph

    Exponents and Logarithms-- 3 questions.-fig0001.png
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