Solve this equation for x

Question

Solve x = log_1.75(68)

Answer 1

The solution to a log is the exponent to the log's base number.

 

(1.75)^x = 68

 

 

Log both sides of the equation and bring any exponents down as the coefficient of the log.

 

xlog(1.75) = log(68)

 

x = log(68) / log(1.75)

 

 

Answer 2

Use the Change-of-Base formula.

 

log_1.7568 = ln 68 ÷ ln 1.75