lo g (20 x 3) − lo g (x 2) = 4. Now use the quotient rule of logarithms, which states that lo g (a) − lo g (b) = lo g (b a ): lo g (x 2 20 x 3 ) = 4 lo g (20 x) = 4. Now, convert from logarithmic form to exponential form. The base is 10, so we have: 20 x = 1 0 4 20 x = 10000. Now, divide both sides by 20 to solve for x: x = 20 10000 x = 500 ...

Aug 16, 2023 · Understanding the logarithm: The equation lo g 10 (20 ⋅ x) = 3 means that 10 raised to the power of 3 equals 20 ⋅ x. Convert to exponential form: 1 0 3 = 20 ⋅ x Therefore, 1000 = 20 ⋅ x. Solve for x: To isolate x, divide both sides by 20: x = 20 1000 Thus, calculate: x = 50. Final result: The value of x is 50.

Jul 30, 2018 · To solve lo g 20 (x 3) − 2 lo g (x) = 4, we use the properties of logarithms and solve step by step, resulting in x = 1 0 3 − 2 l o g (20) 4 l o g (20) . chevron down Explanation

Mar 20, 2023 · To solve the inequality x - 3 > 20, we follow these steps: Start with the inequality: x − 3 > 20. Add 3 to both sides to isolate x: x − 3 + 3 > 20 + 3 x > 23. This tells us that x must be greater than 23. Therefore, the correct answer is A. x > 23.

Jan 26, 2025 · To find the inverse of the function f (x) = 20 x + 3, we need to express x in terms of y, where y = f (x). Follow these steps: Start with the function: y = 20 x + 3. Solve for x: First, subtract 3 from both sides to isolate the term with x: y − 3 = 20 x. Next, divide both sides by 20 to solve for x: x = 20 y − 3 Express the inverse function:

100 x 3 + 5 = 5 x 3 (20 x + 1) D. 2 x (2 x + 5) **Using distributive property: ** a ⋅ (b + c) = a ⋅ b + a ⋅ c. 4 x 2 + 10 x ∵ x a ⋅ x b = x a + b. then; 4 x 2 + 10 x = 2 x (2 x + 5) 2. Completely factored states that an expression is completely factored when no further factor is possible. C. 24 x 6 − 18 x 5. Take greatest common ...

After factoring, she arrived at (x + 20) (x − 3) = 0. The next step she should take is to apply the zero product property, which states that if a product of factors equals zero, at least one of the factors must be zero. Thus, Luna should set each factor to zero: x + 20 = 0; x − 3 = 0; Now, solving these equations will give her the values of ...

Sep 9, 2019 · The student has asked to find the simplest form of the mathematical expression 20 x 3/4. To simplify this expression, you multiply 20 by 3 and then divide the result by 4. First, calculate 20 times 3, which equals 60. 20×3 = 60. Next, divide 60 by 4, which gives you 15. 4 60 = 15. So, the simplest form of the expression 20 x 3/4 is 15.

Mar 2, 2021 · The expression x² − 17x − 60 can be factorized as (x + 3) (x- 20). What is expression? An expression in math is a sentence with a minimum of two numbers/ variables and at least one math operation in it. Let us understand how to write expressions. Constant: A constant is a fixed numerical value.

Mar 26, 2024 · The expression 4 x 2 − 8 x − 60 can be factored completely as 4 (x − 5) (x + 3), which corresponds to option B. The factorization process involves finding two numbers that multiply to -240 and add to -8.