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Use logarithmic properties to solve the following equation log3 5x+ log3 7= 4 leave your answer in fraction form please

Respuesta :

Explanation:

Adding logs of same base is equivalent to multiplying the arguments. You get:

[tex] log_{3}(35x) = 4[/tex]

Use the definition of the log to turn this into an exponential function:

[tex] {3}^{4} = 35x[/tex]

[tex]81 = 35x[/tex]

[tex]x = \frac{81}{35} [/tex]