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.
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.
To solve the equation ( \log_3(\log_2 x) - \log(3x + 7) = 0 ), first rewrite it as ( \log_3(\log_2 x) = \log(3x + 7) ). This implies ( \log_2 x = 3^{\log(3x + 7)} ). Next, convert ( \log(3x + 7) ) to base 3, and isolate ( x ) by converting back to exponential form. Finally, solve the resulting equation for ( x ).
log(f) + log(0.1) = 6 So log(f*0.1) = 6 so f*0.1 = 106 so f = 107
You calculate a log, you do not solve a log!
x = 3*log8 = log(83) = log(512) = 2.7093 (approx)
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.
You cannot solve log x- 2 unless (i) log x - 2 is equal to some number or (ii) x is equal to some number.
-6
8 × 5^x = 23 → 5^x = 2.875 → x log 5 = log 2.875 → x = log 2.875 ÷ log 5 (You can use logs to any base as long as the same base is used for both of the logs.)
2 log(x) = log(8)log(x2) = log(8)x2 = 8x = sqrt(8) = 2.82843 (rounded)Note that only the positive square root of 8 can serve as a solution to thegiven equation, since there's no such thing as the log of a negative number.
I understand this to mean 5n = 8 We try to convert equations like these into equations involving logarithms. Which is fairly easy. In the usual way that we might add constants to both sides of an equation of take square roots of both sides, let us just take logarithms of both sides of this one. n log 5 = log 8 (the logarithm of the power of a number is the product of the log of the number and the power) Then n = log 8 / log 5 ~= 1.29
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.
You have to use logarithms (logs).Here are a few handy tools:If [ C = D ], then [ log(C) = log(D) ]log(AB) = log(A) + log(B)log(A/B) = log(A) - log(B)log(Np) = p times log(N)
The expression 8 log base 8 of 19 can be rewritten as log base 8 of 19 raised to the 8th power. This is because the logarithm function is the inverse of the exponentiation function. Therefore, 8 log base 8 of 19 simplifies to log base 8 of 19^8.