You divide log 8 / log 16. Calculate the logarithm in any base, but use the same base for both - for example, ln 8 / ln 16.
Chat with our AI personalities
log(x)+log(8)=1 log(8x)=1 8x=e x=e/8 You're welcome. e is the irrational number 2.7....... Often log refers to base 10 and ln refers to base e, so the answer could be x=10/8
The part we don't understand is: If you need to evaluate it, then why do we need to solve it ?Here's a suggestion on how to go about it:log8(0.51/3) = 1/3 log8(0.5)To find log8(0.5) : let's call it 'Q'8Q = 0.5Q log(8) = log(0.5)Q = log(0.5) / log(8)Now you can find 'Q', and then 1/3 of Q is the answer to your original question.
The expression ( \log_{10} - \log 8 ) can be simplified using the logarithmic property that states ( \log a - \log b = \log \left( \frac{a}{b} \right) ). Therefore, ( \log_{10} - \log 8 = \log \left( \frac{10}{8} \right) ) or ( \log \left( 1.25 \right) ). This represents the logarithm of 1.25 to the base 10.
log(f) + log(0.1) = 6 So log(f*0.1) = 6 so f*0.1 = 106 so f = 107
You can't solve this since it isn't an equation.There is also an ambiguity (it's hard to write math on a typewriter keyboard) - are we talking about log(x3) or maybe logx(3)?Restate the question: Simplify log(x3)Answer: 3log(x)You could explain this by saying: log(x3) = log[(x)(x)(x)] = logx + logx + logx = 3logx. The general rule is log(xn) = nlogx.