[tex]\bf \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 4\log_9(3)=\log_9(x)\implies \log_9(3^4)=\log_9(x)\implies 3^4=x\implies 81=x[/tex]
The value of x will be equal to 81.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
4log₉(3) = log₉x
By using the logarithmic property:-
Log[tex]_a[/tex]( x[tex].^b[/tex]) = b Log[tex]_a[/tex](x)
4log₉(3) = log₉x
log₉ ( 3 )⁴ = log₉ ( x )
3⁴ = x
x = 81
Therefore the value of x will be equal to 81.
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