To solve the given logarithmic equation, we will rewrite it in exponential form using the definition of a logarithm.
log_b x=y ⇔ x= b^y
This definition tells us how to rewrite the logarithm equivalent of y in exponential form. The argument x is equal to b raised to the power of y. Before applying this definition to the given equation, we must rewrite it to isolate the logarithm.
log 5x + 3=3.7 ⇔ log 5x = 0.7
Note that if the base of a logarithm is not stated, it means it is ten. Therefore, we know that log 5x = log_(10) 5x.
log_(10) 5x =0.7 ⇔ 5x= 10^(0.7)
We can see above that 0.7 is the exponent to which 10 must be raised to obtain 5x. Now, let's solve our equation.
