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Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. The solution of the equation will be t= 2.

What is a logarithm?

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The given equation in the question is ;

[tex]\rm log(2t+4)= log(14-3t)[/tex]

On taking antilog both sides we get,

[tex]\rm (2t+4)= (14-3t) \\\\ 3t+2t=14-4 \\\\ 5t=10 \\\\ t=2[/tex]

Hence the solution of the equation will be t= 2.

To learn more about the logarithm refer to the link ;

brainly.com/question/13162487