Question to test your Properties of Logarithms knowledge

Question

Given that $\log_{a}\left(p\right)=0.42$ and $\log_{a}\left(r\right)=0.91$ find the value of $\log_{a}\frac{\sqrt{p}}{\sqrt[4]{r}}$ .

Accepted Answer

﻿<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo>−</mo><mn>0.0175</mn></mrow><annotation encoding="application/x-tex">-0.0175</annotation></semantics></math>−0.0175﻿

Answer

﻿<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo>−</mo><mn>0.1075</mn></mrow><annotation encoding="application/x-tex">-0.1075</annotation></semantics></math>−0.1075﻿

Answer

﻿<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo>−</mo><mn>0.1750</mn></mrow><annotation encoding="application/x-tex">-0.1750</annotation></semantics></math>−0.1750﻿

Answer

﻿<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo>−</mo><mn>0.0715</mn></mrow><annotation encoding="application/x-tex">-0.0715</annotation></semantics></math>−0.0715﻿

Properties of Logarithms: Study with Video Lessons, Practice Problems & Examples

Given that ﻿log⁡a(p)=0.42\log_{a}\left(p\right)=0.42loga​(p)=0.42﻿ and ﻿log⁡a(r)=0.91\log_{a}\left(r\right)=0.91loga​(r)=0.91﻿ find the value of ﻿log⁡apr4\log_{a}\frac{\sqrt{p}}{\sqrt[4]{r}}loga​4r​p​​﻿.

Given that $\log_{a}\left(p\right)=0.42$ and $\log_{a}\left(r\right)=0.91$ find the value of $\log_{a}\frac{\sqrt{p}}{\sqrt[4]{r}}$ .