If 10^4 = 10^2 log10 𝑥

then find x

asked by guest
on Jan 15, 2025 at 1:48 am



You asked:

Solve the equation \({10}^{4} = {10}^{2} \log\left( 10 \right) \cdot x\) for the variable \(x\).

MathBot Answer:

The solution is: \[x = \frac{100}{\log{\left(10 \right)}} \approx 43.429448\]

\[\begin{aligned}10000 &= x 100 \log{\left(10 \right)}\\x \left(- 100 \log{\left(10 \right)}\right) &= -10000\\x &= \frac{100}{\log{\left(10 \right)}}\end{aligned}\]

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