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First take natural logs of both sides, giving us: ln(3 x * e 4x ) = ln(e 7 ). The RHS can be simplified using the definition of natural logs, so ln(e 7 ) = 7. We can then apply the product rule for logs (ln(...

The at first can seem very challenging and you won't be able to tackle this question quickly using simple factorisation, which you can often do for many questions. It is best in this case then to use the Qua...

A key example of a poet expressing change comes in Carol Ann Duffy's ' Originally' from her 1990 collection The Other Country. In the poem, Duffy utilises imagery such as that of the turning wheels to sugges...

In Spanish, nouns are either masculine or feminine. The articles for feminine nouns are la or una and the articles for masculine nouns are el or un. Generally, feminine nouns begin with an a for example, la ...

DNA is found in the nucleus of all human cells (except red blood cells). Its double-stranded, helical structure contains all of the information required for the body to produce new proteins- it simply needs ...