The solution of the given equation. Given: 1.5^{x}=55

EunoR

EunoR

Answered question

2021-09-11

The solution of the given equation.
Given: 1.5x=55

Answer & Explanation

Luvottoq

Luvottoq

Skilled2021-09-12Added 95 answers

Concept used: The property of natural logarithmic functions.
Calculation:
1.5x=55
Taking natural logarithm of both sides:
ln(1.5x)=ln55
xln1.5
=ln55[lnam=mlna]
x=ln55ln1.5
x=4.0073331850.405465108 (Using a scientific calculator)
x=9.883299709
x=9.883 (Rounded to three decimal places)
Conclusion: The equation 1.5x=55 has the solution x=9.883.

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