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Express the numbers in the equation as logarithms of base $10$, The sum of two logarithms of the same base is equal to the logarithm of the product of the arguments, For two logarithms of the same base to be equal, their arguments must be equal. Fractional Exponents Fields Medal Prize Winners (1998) TUTORIALS: Solving Quadratic Equations by Using the Quadratic Formula. The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. Order and Inequalities Rationalizing the Denominator To simplify your expression using the Simplify Calculator, type in your expression like 2 (5x+4)-3x. Factoring General Polynomials Good job. Simplify Calculator. Algebra. Multiplying and Dividing Monomials Multiplying Polynomials Factoring is the process. This website uses cookies to ensure you get the best experience on our website. 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Adding and Subtracting Fractions Solved Question 1 Write The Logarithmic Equation In Chegg Com. To embed this widget in a post, install the Wolfram|Alpha Widget Shortcode Plugin and copy and paste the shortcode above into the HTML source. University. In other words, if $\log(a)=\log(b)$ then $a$ must equal $b$, Move everything to the left hand side of the equation, Multiply the single term $1000$ by each term of the polynomial $\left(x-1\right)$, We need to isolate the dependent variable $x$, we can do that by subtracting $-1001$ from both sides of the equation, Divide both sides of the equation by $999$, Verify that the solutions obtained are valid in the initial equation, The valid solutions to the logarithmic equation are the ones that, when replaced in the original equation, don't result in any logarithm of negative numbers or zero, since in those cases the logarithm does not exist. 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