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jahaddow said:Simplify the attached expression using any relevant logarithmic rules
I haven't really done much with logarithms, so i didnt know where to start?
jahaddow said:the problem is I don't know how to do that?
jahaddow said:Simplify the attached expression using any relevant logarithmic rules
I haven't really done much with logarithms, so i didnt know where to start?
Then you should start by learning the "relevant logarithmic rules"!jahaddow said:the problem is I don't know how to do that?
jahaddow said:well that would be log(ab)
jahaddow said:I don't know how to!
jahaddow said:Or would it be 12logx? I don't know.
jahaddow said:The second problem, I worked out to be just 12 now. But the first problem, 2/1.75 equals a long decimal, so wouldn't I just leave it as a fraction?
jahaddow said:just one more question, how do I simplify this and express with positive indices.
(18x^3 X 2x^-4)/(4x^-5 X 6x)
= [tex]\frac{4\times3\log{x}}{\log{x}}[/tex]xX-Cyanide-Xx said:could someone plese show a bit more detail with the second problem, where did 12 come from.
xX-Cyanide-Xx said:I missed the step before that. wheres the 3 come from?
Sorry I am really bad at this.
Yes. It is correct.xX-Cyanide-Xx said:Ok i think i got it now. i got it down to 12 by doing this:
2Logx^2 / 1/3Logx
= 4Logx / 1/3Logx
=4 * 3Logx / Logx
=12Logx / Logx
=12
is all the working out correct? if not can u show me the full question with working, all set out as if it were a test?
A logarithm is the inverse function of an exponential. It is used to solve for the exponent in an exponential equation. For example, in the equation 2^x = 8, the logarithm would be used to find the value of x.
Logarithms are useful for simplifying expressions because they allow us to condense large numbers or complex equations into more manageable forms. They also help us solve for unknown variables in exponential equations.
To simplify an expression using logarithms, we use the properties of logarithms to rewrite the expression in a more condensed form. This includes using the product, quotient, and power properties of logarithms.
Some common mistakes when simplifying expressions using logarithms include forgetting to apply the properties of logarithms correctly, using the wrong base for the logarithm, and not simplifying the expression fully.
No, logarithms can only be used to solve equations where the variable is in the exponent. They cannot be used to solve for variables in other types of equations, such as linear or quadratic equations.