Final Answer
$x=\frac{30\log \left(\frac{15}{4}\right)}{\log \left(\frac{3}{4}\right)}$
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Step-by-step Solution
Problem to solve:
$50=35+4\left(\frac{3}{4}\right)^{\frac{x}{30}}$
Specify the solving method
1
Grouping terms
$15=4\left(\frac{3}{4}\right)^{\frac{x}{30}}$
Learn how to solve exponential equations problems step by step online.
$15=4\left(\frac{3}{4}\right)^{\frac{x}{30}}$
Learn how to solve exponential equations problems step by step online. Solve the exponential equation 50=35+43/4^(x/30). Grouping terms. Rearrange the equation. Divide both sides of the equation by 4. We can take out the unknown from the exponent by applying logarithms in base 10 to both sides of the equation.
Final Answer
$x=\frac{30\log \left(\frac{15}{4}\right)}{\log \left(\frac{3}{4}\right)}$
Numeric Answer
$x=-\frac{13370}{97}$