document.write( "Question 1209825: Log4 base2+log9 base3 \n" ); document.write( "
Algebra.Com's Answer #850688 by CPhill(1959)![]() ![]() You can put this solution on YOUR website! Let's evaluate the given expression:\r \n" ); document.write( "\n" ); document.write( "log₄(2) + log<0xE2><0x82><0x89>(3)\r \n" ); document.write( "\n" ); document.write( "**1. Evaluate log₄(2):**\r \n" ); document.write( "\n" ); document.write( "* We want to find the power to which we must raise 4 to get 2. \n" ); document.write( "* 4^(1/2) = √4 = 2 \n" ); document.write( "* Therefore, log₄(2) = 1/2\r \n" ); document.write( "\n" ); document.write( "**2. Evaluate log<0xE2><0x82><0x89>(3):**\r \n" ); document.write( "\n" ); document.write( "* We want to find the power to which we must raise 9 to get 3. \n" ); document.write( "* 9^(1/2) = √9 = 3 \n" ); document.write( "* Therefore, log<0xE2><0x82><0x89>(3) = 1/2\r \n" ); document.write( "\n" ); document.write( "**3. Add the Results:**\r \n" ); document.write( "\n" ); document.write( "* log₄(2) + log<0xE2><0x82><0x89>(3) = 1/2 + 1/2 = 1\r \n" ); document.write( "\n" ); document.write( "**Therefore, log₄(2) + log<0xE2><0x82><0x89>(3) = 1** \n" ); document.write( " \n" ); document.write( " |