1/12(log10x)^2=1/3-1/4(log10x)
please provide solution of this. value of x
Answers
500 kg =1000 km okk thanks you
Answer:
Equation log simplification.
User
(1/12)(logx)=(1/3)-(1/4) (log10x
ChatGPT
To solve this equation, we can start by simplifying the logarithmic expressions on both sides of the equation using the following logarithmic identities:
log a^b = b log a
log a + log b = log ab
log a - log b = log(a/b)
Applying these identities, we can simplify the equation as follows:
(1/12)log(x) = (1/3) - (1/4)log(10x)
(1/12)log(x) = (1/3) - (1/4)(log(10) + log(x)) [using log a + log b = log ab]
(1/12)log(x) = (1/3) - (1/4)(1 + log(x)) [using log(10) = 1]
Next, we can simplify the right-hand side of the equation by multiplying both sides by 12 to eliminate the fractions:
log(x) = 4 - 3(1 + log(x))
log(x) = 4 - 3 - 3log(x)
4log(x) = 1
log(x) = 1/4
Finally, we can solve for x by taking both sides of the equation to the power of 10:
x = 10^(log(x)) = 10^(1/4) = 1.77828
Therefore, the solution to the equation is x ≈ 1.77828.