How do you write as a single logarithm #1/2 Log _b3 +1/2 Log_bx - 3 Log_b Z#? Precalculus Properties of Logarithmic Functions Functions with Base b 1 Answer Surya K. Mar 15, 2018 #log_b(sqrt(3x)/Z^3)# Explanation: Since #xlogy=logy^x#, we can write: #log_bsqrt(3)+log_bsqrt(x)-log_bZ^3# Since #loga+logb=log(ab)#, we write: #log_bsqrt(3x)-log_bZ^3# Since #loga-logb=log(a/b)#, we can write: #log_b(sqrt(3x)/Z^3)# Answer link Related questions What is the exponential form of #log_b 35=3#? What is the product rule of logarithms? What is the quotient rule of logarithms? What is the exponent rule of logarithms? What is #log_b 1#? What are some identity rules for logarithms? What is #log_b b^x#? What is the reciprocal of #log_b a#? What does a logarithmic function look like? How do I graph logarithmic functions on a TI-84? See all questions in Functions with Base b Impact of this question 2488 views around the world You can reuse this answer Creative Commons License