最新の問題

The problem is to calculate the sum of 1 and 1. This can be represented as $1 + 1$.

AdditionBasic Arithmetic
2025/3/17

The problem requires simplifying the given rational expression: $\frac{4x-9}{(x-2)(x-3)}$. The instr...

Partial FractionsRational ExpressionsAlgebraic Manipulation
2025/3/17

The problem is to simplify the rational expression $\frac{4x-9}{(x-2)(x-3)}$.

Rational ExpressionsPartial FractionsAlgebraic Manipulation
2025/3/17

The problem asks us to express the given rational expression, $\frac{4x-9}{(x-2)(x-3)}$, as a sum of...

Partial FractionsRational ExpressionsAlgebraic Manipulation
2025/3/17

次の2つの対数の値を求めます。 (1) $\log_4 8 = \frac{\text{(ア)}}{\text{(イ)}}$ (2) $\log_2 3 \times \log_3 4 = \text...

対数対数の性質底の変換公式計算
2025/3/17

The problem requires us to perform a partial fraction decomposition on the rational expression $\fra...

Partial FractionsRational ExpressionsAlgebraic ManipulationEquation Solving
2025/3/17

We are given two equations: 1) $log(y) = 2log(x) + 1$ 2) $2y = 9x - 1$ We need to solve for $x$ and ...

LogarithmsSystems of EquationsQuadratic EquationsSubstitutionSolution Verification
2025/3/17

与えられた3つの対数計算をそれぞれ計算し、結果を求める問題です。 (1) $\log_{10} 25 + \log_{10} 4$ (2) $\log_3 72 - \log_3 8$ (3) $\l...

対数対数の性質対数計算
2025/3/17

(1) $2^0 = 1$ を $x = \log_a N$ の形に書き換える問題。 (2) $\log_2 0.125$ の値を求める問題。 (3) $\log_a 125 = -3$ を満たす $...

対数指数対数関数
2025/3/17

与えられた積分を計算する問題です。 $\int (5x^4 - 3x^2 + \frac{3\sqrt{x}}{2}) dx$

積分不定積分多項式ルート積分計算
2025/3/17