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For logarithmic equations, logb(x) = y log b (x) = y is equivalent to by = x b y = x such that x> 0 x> 0, b> 0 b> 0, and b ≠ 1 b ≠ 1. In this case, b = 7 b = 7, x = 343 x = 343, and y = 3 y = 3. Substitute the values of b b, x x, and y y into the equation by = x b y = x.
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Rewrite the equation as x = log7(343) x = log 7 (343). Logarithm base 7 7 of 343 343 is 3 3. Tap for more steps... Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
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Here, we show you a step-by-step solved example of logarithmic equations. This solution was automatically generated by our smart calculator: $\log_2\left(x\right)+\log_2\left(x-3\right)=2$
Enter the logarithmic expression below which you want to simplify. The logarithm calculator simplifies the given logarithmic expression by using the laws of logarithms. Click the blue arrow to submit. Choose "Simplify/Condense" from the topic selector and click to see the result in our Algebra Calculator!
Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.