最新の問題

We are given a system of two equations: $\log y = 2 \log x + 1$ $2y = 9x - 1$ We need to find the va...

LogarithmsSystems of EquationsQuadratic EquationsSolution Verification
2025/3/17

定数 $a$ を用いた不等式 $ax + 4 > a^2 - 2x$ を解く問題です。

不等式一次不等式場合分け文字係数
2025/3/17

2つの不等式 $|x+3| < 5$ と $2x-10 > k$ をともに満たす整数 $x$ がただ1つだけ存在するとき、定数 $k$ の値の範囲を求める。

不等式絶対値整数解数直線条件を満たす範囲
2025/3/17

We are given two equations: 1. $\log y = 2 \log x + 1$

LogarithmsQuadratic EquationsSystems of EquationsSubstitution
2025/3/17

Solve the following system of equations: $\log y = 2 \log x + 1$ $2y = 9x - 1$

Systems of EquationsLogarithmsQuadratic EquationsSolution Verification
2025/3/17

問題は以下の2つです。 (1) $\frac{1}{2-\sqrt{3}}$の整数部分を$a$, 小数部分を$b$とする。$a, b$の値を求めよ。 (2) 不等式$\frac{1}{2-\sqrt{...

不等式有理化平方根整数部分小数部分式の計算
2025/3/17

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

LogarithmsQuadratic EquationsSystems of EquationsSubstitutionFactorization
2025/3/17

The problem asks us to solve three logarithmic equations for $x$. (a) $\log_{10}(x^2 + 13x) = 1 + \l...

Logarithmic EquationsSolving EquationsAlgebraic Manipulation
2025/3/17

We are given two logarithm problems to solve for $x$. Problem 5: Find $x$ if $\log_{10}(2x+1) - \log...

LogarithmsEquationsSolving EquationsLogarithmic EquationsAlgebraic Manipulation
2025/3/17

The image presents two problems. Problem 3 asks to solve the equation $\log_2(x+2) = \log_2(x-1) + 1...

LogarithmsEquationsLogarithmic EquationsSolutionProperties of Logarithms
2025/3/17