Step 2: By now you should know that when the base of the exponent and the base of the logarithm are the same, the left side can be written x. The equation can now be written .
www.sosmath.com/algebra/logs/log4/log47/log47.html
Then I can solve the log equation by solving this quadratic equation: ... Since I cannot have a negative inside a logarithm, the quadratic-equation solution "x = –5" can not be a valid solution to the original logarithmic equation (in particular, this negative value won't work in the right-hand side of the...
www.purplemath.com/modules/solvelog.htm www.purplemath.com/modules/solvelog.htm
Sections: Solving from the definition, Solving using logarithms, Calculators ... If this equation had asked me to "Solve 2x = 32", it would have been easy, because I could have converted the 32 to 25, set the exponents equal, and solved for "x = 5". But 30 is not a power of 2, so I can't set powers equal to each other.
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Math Help Forum > Pre-University Math Help > Pre-Algebra and Algebra ... User Name Save? ... How do you find x in terms of A for this equation; 2x+1=xlogA...
www.mathhelpforum.com/math-help/pre-algebra-algebra/305... www.mathhelpforum.com/math-help/pre-algebra-algebra/3053-solving-logarithm-equation.html
Solve the following equation for y: ... Find the algebra mistake: ... Check the following complete solution (use the logarithm rules ln(a/b) = ln(a) - ln(b) and ln(1) = 0):
mathmistakes.info/mistakes/algebra/Examples/4/cam.html
Check that the computed solutions to an equation actually are solutions; in this case one of the two proposed solutions does not lie in the domain of the logarithm function. We call such "solutions" extraneous.
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The equation in example 1 was easy to solve because we could express 9 as a power of 3. However, it is often necessary to use a logarithm when solving an exponential equation.
www.uncwil.edu/courses/mat111hb/EandL/equations/equatio... www.uncwil.edu/courses/mat111hb/EandL/equations/equations.html
Note that this could also have been solved by working directly from the definition of a logarithm: What power, when put on "2", would give you an 8? ... Keep in mind that you can check your answers to any "solving" exerice by plugging those answers back into the original equation and checking that the solution "works":
www.purplemath.com/modules/solvelog2.htm www.purplemath.com/modules/solvelog2.htm
Solving a Logarithmic Equation of the Form ... The equation that we had to solve in step 3 had a rational expression in it. If you need a review on solving equations with rational expressions feel free to go to Tutorial 15: Equations with Rational Expressions.
www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebr... www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut46_logeq.htm