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Exercise

$log_{0.84}x$

Step-by-step Solution

1

Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$, where $n$ equals $0.84$

$\ln\left(_^{0.84}\right)x$
2

Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$, where $n$ equals $x$

$\ln\left(\left(_^{0.84}\right)^x\right)$
3

Simplify $\left(_^{0.84}\right)^x$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $0.84$ and $n$ equals $x$

$\ln\left(_^{0.84x}\right)$

Final answer to the exercise

$\ln\left(_^{0.84x}\right)$

Try other ways to solve this exercise

  • Choose an option
  • Condense the logarithm
  • Expand the logarithm
  • Simplify
  • Find the integral
  • Find the derivative
  • Write as single logarithm
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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Main Topic: Condensing Logarithms

Combining or condensing logarithms consists of rewriting a mathematical expression with several logarithms into a single logarithm, by applying the properties of logarithms.

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