<task>  Solve <s><tx>\log_32+\log_3x+\log_3\left(x-1\right)=1</tx></s></task><answer><tx>\lbrace\frac{1}{2}+\frac{\sqrt{7}}{2},\frac{1}{2}-\frac{\sqrt{7}}{2}\rbrace</tx></answer><youtube  channel="UCXGlEEb1ULN6EGBlk3g1n1w" video="https://www.youtube.com/embed/wDhXNRDp634?end=288"/>

01433

<task>  Solve <s><tx>\log_7\left(x+1\right)-\log_7x-\log_7\left(x+9\right)=0</tx></s></task><answer><tx>\lbrace-4+\sqrt{17},-4-\sqrt{17}\rbrace</tx></answer><youtube  channel="UCXGlEEb1ULN6EGBlk3g1n1w" video="https://www.youtube.com/embed/VPiF0iJoSKk?end=410"/><youtube  channel="UCXGlEEb1ULN6EGBlk3g1n1w" video="https://www.youtube.com/embed/8FbK_Bq2z88?end=386"/>

01432

<task>  Solve <s><tx>\log_4x=1-\log_4\left(x-3\right)</tx></s></task><answer><tx>x=4</tx></answer><youtube  channel="UCXGlEEb1ULN6EGBlk3g1n1w" video="https://www.youtube.com/embed/GrKbOo_3z5o?start=16&end=361"/>

01431

<task>  Solve <s><tx>\log_4\left(2x+1\right)-\log_4\left(7x-3\right)=0</tx></s></task><answer><tx>x=\frac{4}{5}</tx></answer><youtube  channel="UCXGlEEb1ULN6EGBlk3g1n1w" video="https://www.youtube.com/embed/AsInTNsFVnA?end=260"/>

01401

<task>  Solve <s><tx>\log_2\left(x+2\right)+\log_2\left(x-2\right)-\log_2\left(2x-1\right)=2</tx></s></task><answer><tx>x=8</tx></answer><youtube  channel="UCXGlEEb1ULN6EGBlk3g1n1w" video="https://www.youtube.com/embed/SzxxPUdb63Q?start=16&end=503"/>

01399

<task>  Solve <s><tx>\log_832+\log_2\left(x-1\right)=\frac{5}{3}</tx></s></task><answer><tx>x=2</tx></answer><youtube  channel="UCXGlEEb1ULN6EGBlk3g1n1w" video="https://www.youtube.com/embed/Q_2MppnJPyk?end=491"/>

01396

<task>  Solve <s><tx>\log_4x+\log_{16}x+\log_2x=7</tx></s></task><answer><tx>x=16</tx></answer><youtube  channel="UCXGlEEb1ULN6EGBlk3g1n1w" video="https://www.youtube.com/embed/_oces22rkEM?end=546"/>

01392

<task>  Solve <s><tx>2\log_4\left(x-3\right)=1</tx></s></task><answer><tx>x=5</tx></answer><youtube channel="UCXGlEEb1ULN6EGBlk3g1n1w" video="https://www.youtube.com/embed/mBl_XHCdZxY?start=12&end=223"/>

01274

<task>  Solve <s><tx>\log_2\left(5x-7\right)+1=4</tx></s></task><answer><tx>x=3</tx></answer><youtube channel="UCXGlEEb1ULN6EGBlk3g1n1w" video="https://www.youtube.com/embed/ZPFeez39MvM?start=14&end=199"/>

01273

<task>  Solve <tx>\log\left(2x+3\right)+5=7</tx></task><answer><tx>x=\frac{97}{2}</tx></answer><youtube channel="UCXGlEEb1ULN6EGBlk3g1n1w" video="https://www.youtube.com/embed/e7V8jgeJri0?end=255"/>

Solve logarithmic equations