Solve the equation. Find the exact solution if

encaderpwp

encaderpwp

Answered question

2022-03-21

Solve the equation. Find the exact solution if possible; otherwise, use a calculator to approximate to two decimal places.
33x5=7

Answer & Explanation

Aaliyah Phillips

Aaliyah Phillips

Beginner2022-03-22Added 9 answers

Logarithm is inverse of exponentiations. A logarithm is an easy method to express large numbers and to perform arithmetic operations on them. Multiplication and division can be written in the form of addition and subtraction while operating logarithms.
There are various rules involved in performing logarithmic operations; some required for the question are as follows:
Product Rule logamn=logam+logan
Exponent rule logaxn=nlogax
The given equation is 33x5=7. Apply log on both sides and use the exponent rule to simplify the equation.
log(33x5)=log7
(3x5)log3=log7
3x5=log7log3
=0.8450.477
=1.771
3x=1.1771+5
x=6.7713
=2.257
The value of x is 2.257, which is equal to 2.26 rounded up to two decimal places.

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