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Margaret [11]
3 years ago
15

Solve the exponential equation. (logs) 3(1.05)^x+1=6

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0
\bf 3(1.05)^x+1=6\implies 3(1.05)^x=5\implies (1.05)^x=\cfrac{5}{3}\\\\
-----------------------------\\\\
log_{{  a}}\left( x^{{  b}} \right)\implies {{  b}}\cdot  log_{{  a}}(x)\qquad thus\\\\
-----------------------------\\\\
log\left[  (1.05)^x \right]=log\left( \cfrac{5}{3} \right)\implies xlog\left[  (1.05) \right]=log\left( \cfrac{5}{3} \right)
\\\\\\
x=\cfrac{log\left( \frac{5}{3} \right)}{log(1.05)}
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<h3>What is a expression? What is a mathematical equation? What is unit conversion?</h3>

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.

We have a soccer field that is 105 meters long and a football field is 120 yards long.

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