document.write( "Question 480230: I'm having trouble solving the Logarithmic equation Log(Base 2)(x-5)=4 . So far I've tried Moving the 4 over to the 2 to make 2^4=x-5, but after that I'm stuck. Could someone show me a step by step way to achieve the answer? Thanks! \n" ); document.write( "
Algebra.Com's Answer #328918 by lwsshak3(11628) ![]() You can put this solution on YOUR website! I'm having trouble solving the Logarithmic equation Log(Base 2)(x-5)=4 . So far I've tried Moving the 4 over to the 2 to make 2^4=x-5, but after that I'm stuck. Could someone show me a step by step way to achieve the answer? \n" ); document.write( "** \n" ); document.write( "log 2(x-5)=4 \n" ); document.write( "By definition, this says the logarithm of (x-5), base 2 is equal to 4, that is, the base(2) raised to the logarithm of the number(4) is equal to the number(x-5) \n" ); document.write( "Thus, 2^4=x-5 \n" ); document.write( "16=x-5 \n" ); document.write( "x=21 \n" ); document.write( "Check: \n" ); document.write( "log2(x-5)=log2(21-5)=log2(16)=4 \n" ); document.write( " |