The logarithmic expressions by simplifying with logarithmic identities is one type of log problems in mathematics. The worksheet of practice questions on simplifying the logarithm expressions with answers is given here for students and solutions to learn how to find the values of log expressions by simplification using logarithmic rules.

$(1).\,\,$ Evaluate $\log_{5}{7^{\displaystyle -3\log_{7}{5}}}$

$(2).\,\,$ Evaluate $7\log_{2}{\bigg(\dfrac{16}{15}\bigg)}$ $+$ $5\log_{2}{\bigg(\dfrac{25}{24}\bigg)}$ $+$ $3\log_{2}{\bigg(\dfrac{81}{80}\bigg)}$

$(3).\,\,$ Evaluate $\log_{\sqrt{2}}{\sqrt{2\sqrt{2\sqrt{2\sqrt{2\sqrt{2}}}}}}$

$(1).\,\,$ Evaluate $\log{\dfrac{x^2}{yz}}$ $+$ $\log{\dfrac{y^2}{zx}}$ $+$ $\log{\dfrac{z^2}{xy}}$

$(2).\,\,$ Evaluate $\dfrac{1}{\log_{\large ab}{abc}}$ $+$ $\dfrac{1}{\log_{\large bc}{abc}}$ $+$ $\dfrac{1}{\log_{\large ca}{abc}}$

$(3).\,\,$ Evaluate $\log_{\large a}{x}$ $+$ $\log_{\large a^2}{x^2}$ $+$ $\log_{\large a^3}{x^3}$ $+$ $\cdots$ $\log_{\large a^n}{x^n}$

Latest Math Topics

Jun 05, 2023

May 21, 2023

May 16, 2023

May 10, 2023

May 03, 2023

Latest Math Problems

May 09, 2023

A best free mathematics education website that helps students, teachers and researchers.

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

A math help place with list of solved problems with answers and worksheets on every concept for your practice.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved