The solution of the equation [tex]\rm 5^{3x}-900[/tex] is 1.41.
What is the log equation?
An equation is a mathematical statement with an equal sign (=) between the algebraic expression.
The given equation is;
[tex]\rm 5^{3x}-900[/tex]
The solution of the equation is determined in the following steps given below.
[tex]\rm 5^{3x}-900[/tex]
Convert exponential to logarithm form:
[tex]\rm 3x=log_5900\\\\x =\dfrac{log _5 900}{3}\\\\x =\dfrac{log _5 (5^2\times 3^2\times 2^2)}{3}\\\\x=\dfrac{log_55^2+log_53^2+log_52^2}{3}\\\\x=\dfrac{2+log _5 (4\times 9)}{3}\\\\ x=\dfrac{2+log _5 (36)}{3}\\\\ x =\dfrac{2+2.22}{3}\\\\ x=1.41[/tex]
Hence, The solution of the equation [tex]\rm 5^{3x}-900[/tex] is 1.41.
Learn more about the log function here;
https://brainly.com/question/9536186
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