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assignment 6.4: logarithmic equations and inequaliti
score: 1/19 answered: 1/16
question 2
solve for ( x ):
( x = 5^{log_{5} 6 + log_{5} 7} )
( x = )
note: your answer must be exact and in simplest form.
question help: message instructor

Explanation:

Step1: Combine logs via product rule

$\log_5 6 + \log_5 7 = \log_5 (6 \times 7) = \log_5 42$

Step2: Apply inverse property $a^{\log_a b}=b$

$5^{\log_5 42} = 42$

Answer:

$42$