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-7log(x-10)=0

9898) 7log(x10)=0 -7 \log (x-10)=0

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Q. 9898) 7log(x10)=0 -7 \log (x-10)=0
  1. Isolate Logarithmic Expression: Isolate the logarithmic expression.\newlineTo solve for xx, we need to isolate the logarithmic expression. We start by dividing both sides of the equation by 7-7 to get rid of the coefficient in front of the log.\newline7log(x10)=0-7\log(x-10) = 0\newlinelog(x10)=07\log(x-10) = \frac{0}{-7}\newlinelog(x10)=0\log(x-10) = 0
  2. Convert to Exponential Equation: Convert the logarithmic equation to an exponential equation.\newlineSince the base of the logarithm is not specified, it is assumed to be 1010 (common logarithm). We can rewrite the equation in exponential form to isolate x10x-10.\newline10log(x10)=10010^{\log(x-10)} = 10^0\newlinex10=1x - 10 = 1
  3. Solve for x: Solve for x.\newlineNow that we have x10=1x - 10 = 1, we can solve for x by adding 1010 to both sides of the equation.\newlinex10+10=1+10x - 10 + 10 = 1 + 10\newlinex=11x = 11

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