Logaritmos
?Download as PPTX, PDF?
0 likes?92 views
The document provides examples of calculating logarithmic expressions. It includes: 1) Calculating logarithmic expressions such as log864 = 2 and log381 + log749 = 6. 2) Using properties of logarithms to simplify expressions, such as 3log3 7 = 7. 3) Solving equations involving logarithms, such as finding the value of x in log3x - 2 = 2x + 18. 4) Applying rules of logarithms, like the law of logarithms, to evaluate expressions like Logx = Log25 . Log52.
Logaritmos
- 1. LOGARITMOS EJERCICIOS B?SICOS : 1.- log864 = 2 2.-Calcular: log381 + log749 = 4 + 2 = 6 3.- Calcular : resolucin ??? 3 81 ??? 3 81 = ??? 3 1 2 34 = 4 1 2 ???3 3 11 = 8 1. = 8 4.- Calcular : ???4 2 32 resolucin ???4 2 32 = ??? 2 1 4 25 = 5 1 1 4 ???2 2 11 = 20 . 1 = 20
- 2. 5.- Calcular : 3log3 7 resolucin 3log3 7 = 7 6.- Calcular : 27 ???3 5 resolucin 27 ???3 5 = 33 ???3 5 = 3???3 5 3 = 5 3 = 125 ? ? ? ?log 3x 277 2 x 9 ? ? ?7.- Calcular : resolucin ? ? ? ?log 3x 277 2 x 9 ? ? ? 3x-2 = 2 x + 18 X = 20 ???? ? ?= N
- 3. 1)8(Log 3 1 )16(Log 2 1 )x(Log ???8.- Calcular : resolucin 1)8(Log 3 1 )16(Log 2 1 )x(Log ??? ? ? ? ? 1816log)( 3 1 2 1 ??? LogxLog ? ? ? ? 124log)( ??? LogxLog ? ? ? ? )10log(24log)( ??? LogxLog log 10 = 1 log ? ? + log ? ? = log ? ?. ? log ? ? ? log ? ? = log ? ? ? log ? ? ? log ? ? + log ? ? = log ? ?. ? ? ? ? ? ? ? ? ? 2 10.4 log)(xLog x = 20
- 4. 9.- Calcular : Hallar x en: Logx = Log25 . Log52 resolucin Logx = Log25 . Log52 Logba . Logcb . Logdc = Logda Aplicamos la regla de la cadena: Log x = log5 5 Log x = 1 X = 101 = 10 10.- Calcular : Si: Log2 = 0,3 Log3 = 0,4 Hallar el valor de: E = Log 9 + Log 4 + Log6 resolucin E = Log 9 + Log 4 + Log6 E = Log32 + Log 22 + Log(3 . 2 ) E = 2.Log3 + 2 .Log 2 + Log3+ log 2 Reemplazando: E = 2.0,4 + 2 .0,3 + 0,4 + 0,3 = 1,54