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DialogMatheLogarithmus = ExponentAufgabe 30 bis 45: Berechne130 loga( 1 ) = 038 log9 ( 3 ) log19( 33 = 9 ) 2= 3 2 = 32( )31 2( ) ( )log 2n 4n log 2n 2n 232( )( ) ( )1 + log= = 39( 3 ) log( 310 = 10 ⋅ 10)= 10 ⋅ 3 = 3010 5( ) ( )332 2 ( )log 10 log 10 533( ) ( )= = 40( )65ln e ⋅5e = ln⎛e⎞ 6⎜ ⎟ =⎝ ⎠ 5log 2 = log 2 = 3 4133−log2( 3 ) 2 82 = =log2( 32) 3log34( 1)05 = 5 = 1421log28 (4) = −31−8 2 2 3x 2 x4135 1 −log2 15 ( 5) = log⎛ ⎞5 5 = −43⎜ ⎟log 125⎝ ⎠ 2( 25 ) log 5 ( 5 −= ) = − 2ln 1 = 0ln36( 5e)537 6 5( )= 44 ( )56log2 2 = log⎛2 2⎞⎜ ⎟ =⎝ ⎠56x 3x 2 23= → = → = − → = −45 log9 ( 81) log9( 81)( ) ( ) ( )1 14 43 = 9 = 81 = 32log9( 81) log9( 9 )( ) ( ) ( )Aufgabe 46 bis 60: Berechne x046 log8( x ) = 0 8 = xx = 1247 5 ( )log x 2=2 248 −2log3( x ) = − 24950log 7 ( x ) =log ( 5 ) =x121251 loga( x ) = 4 ( a ) 452 log7( x ) = 153 1( )logx 2= − 154 −3logx( 8 ) = − 35556log ( )14 x =2log ( )1x 2 = −25 = xx = 53 = xx = 193 = 3 = 3 = 3172= xx = 71x2= 5x = 252= xx = a17 = xx = 491x − =12x = 2x = 8x = 12142= xx = 2− 1257 log 1x ( ) = − 2 ( ) 2 15558 log( x5)559 3x ( )log 4 660 1a ( x )= log( x ) 1x = 2x = 14=6 3 6x − = x = 5= x = 10x = 4 = 2x = 2log = − 5 a− 5 = 1 1a5axa= x = 52Lerneinheit 5 | Logarithmen, Exponentialfunktion, Wachstum | 2012/13 | © BF 39