3 X What 243 Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor
How do you solve 3x 243 Take logs of both sides to any convenient base This used logs to base e ln natural logarithms You get the same final answer if you use logs to base 10 log common logarithms If your calculator does logs to any base you could have used base 3 which would have immediately given you log3 243 5 Solves exponential equations 3 x 243 Tiger Algebra s step by step solution shows you how to use logarithms to solve exponential equations
3 X What 243
3 X What 243
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Answer x 5 Explanation Convert both sides of the equation into terms with same base 3 x 3 5 Based on the given conditions corresponding exponents are equal x 5 Answer x 5 Helpful Convert the exponential equation to a logarithmic equation using the logarithm base 3 3 of the right side 243 243 equals the exponent x x Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor
Detailed step by step solution for 3 x 243 Pythagorean Theorem Calculator Circle Area Calculator Isosceles Triangle Calculator Triangles Calculator More 1 Recognize that 243 243 is a power of 3 3 specifically 3 5 35 2 Set up the equation 3 x 3 5 3x 35 3 Since the bases are the same the exponents must be equal Therefore x 5 x 5 Want a more accurate answer Get step by step solutions within seconds
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This question can also be converted in the form where we can be given to find x in 243 x 3 And here we can say that x dfrac 1 5 So we must know that if a x b then we can also write that a b dfrac 1 x To solve the equation 3 x 243 we can use logarithms or recognize the base and the exponent from the given numbers First let s express 243 as a power of 3 243 3 5
If the right side had been 242 or if we din t even think to see if 243 is a whole number power of 3 then we would use logarithms to solve an equation like this Use a logarithm your calculator knows like base 10 or base e ln X 2 x 6 0 x 3 gt 2x 1 line 1 2 3 1 f x x 3 prove tan 2 x sin 2 x tan 2 x sin 2 x frac d dx frac 3x 9 2 x sin 2 theta sin 120
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How do you solve 3x 243 Take logs of both sides to any convenient base This used logs to base e ln natural logarithms You get the same final answer if you use logs to base 10 log common logarithms If your calculator does logs to any base you could have used base 3 which would have immediately given you log3 243 5
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3 X What 243 - 1 Recognize that 243 243 is a power of 3 3 specifically 3 5 35 2 Set up the equation 3 x 3 5 3x 35 3 Since the bases are the same the exponents must be equal Therefore x 5 x 5 Want a more accurate answer Get step by step solutions within seconds
