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Denebel
 2 years ago
How does this simplification work? Can someone show me the intermediate steps?
Denebel
 2 years ago
How does this simplification work? Can someone show me the intermediate steps?

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juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1\[\ln(x)*(\frac{1}{x*\ln10})+\log(x)*(1/x)=\frac{2*\ln(x)}{x*\ln(x)}\]

juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1Is this what you mean?

juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1okay we will need to convert log(x) to ln(x) using a given equation

juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1we are doing this since there are no log(x) in the final answer

juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1\[\log _{a}(x)=\frac{\ln(x)}{\ln(a)}\]

juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1so for log base 10\[\log _{10}(x)=\frac{\ln(x)}{\ln(10)}\]

juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1go ahead and convert this in the expression above. see what you get.

juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1346315440405:dw

Denebel
 2 years ago
Best ResponseYou've already chosen the best response.0^ How did you get that? Isn't whatever you do to the top, you have to do to the bottom?

juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1you had forgotten the x in the denominator, i simply added it back

juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{\ln(x)}{x*\ln(10)}+\frac{\log(x)}{x}=\frac{\ln(x)}{x*\ln(10)}+\frac{\ln(x)/\ln(10)}{x}\]

juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1then move ln(10) to the denominator of the 2nd fraction

Denebel
 2 years ago
Best ResponseYou've already chosen the best response.0where does the log (x) / x come from?

juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1from the original expression that you gave me. you wrote it as \[\log(x)*\frac{1}{x}\]

juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1\[\log(x)*\frac{1}{x}=\frac{\log(x)}{x}\]

Denebel
 2 years ago
Best ResponseYou've already chosen the best response.0? dw:1346316105596:dw from this?

juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1yes, unless i was mistaken by what you wrote

juantweaver
 2 years ago
Best ResponseYou've already chosen the best response.1\[\ln(x)*\frac{1}{x*\ln(10)}+\log(x)*\frac{1}{x}\] am i misunderstanding what you wrote?

Denebel
 2 years ago
Best ResponseYou've already chosen the best response.0Ohh I see it, thank you!
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