Solve for y: \ln(3 - y) - \ln(y) = 2x + \ln(5) without a calculator. Simplify the expression: ln [x^2(3-x)^{2/3}/square root{x^2+x+1}] Express as a single logarithm and simplify: 2 log3 + log(3x) - logx.
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Simplify the following expression so that it is only one logarithm:3ln(4)+ln(3)−2ln(5)+4ln(1) Simplifying criteria for log equation: To solve a log equation we sometimes need to apply the log rules to simplify each side of the equa...
Write the exponential expression e^(2i) in the form a + bi. Rewrite \log_{27} = 3 into exponential form. Express the following as a single logarithmic expression. All exponents must be left in radical form: 2log x - 3log y. Express the following as a single logarithmic expression...
Use the properties of logarithms to condense the following expression into a single logarithm. log(a) - 1/2 log (b) + 4 log(c) Use the properties of logarithms to solve. log (x - 9) = 1 - log x. Use properties of logarithms to rewrite and simplify the logarithm...
Solve the logarithm: log_2 (x - 1) - log_2 (5x + 1) = -3. Simplify the following into one logarithm: 8log_(2)\sqrt{3x - 2} - log_(2)(4/x) + log_(2)4 Simplify the logarithms below without using a calculator. log 10 + log_e e - 1/3 log_3 27 + log_2 8 Simplif...
Condense the expression to the logarithm of a single quantity. 3 ln(x) + 2 ln(x + 1) Find y'. y = (ln x)^{-1} Express as a single logarithm and simplify: 2/3ln(x^2 + 1) + 1/2ln(x^2 - 1) - 1/2ln(x + 1). ...